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6945045632 = 277173712323
BaseRepresentation
bin1100111011111010…
…01111110010000000
3122221000022212120022
412131331033302000
5103210412430012
63105052233012
7334050625310
oct63575176200
918830285508
106945045632
112a4432a638
121419a6b768
13868b04775
1449c533440
152a9ab1472
hex19df4fc80

6945045632 has 128 divisors (see below), whose sum is σ = 17196416640. Its totient is φ = 2725429248.

The previous prime is 6945045631. The next prime is 6945045643. The reversal of 6945045632 is 2365405496.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6945045631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557423 + ... + 569745.

It is an arithmetic number, because the mean of its divisors is an integer number (134347005).

Almost surely, 26945045632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6945045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598208320).

6945045632 is an abundant number, since it is smaller than the sum of its proper divisors (10251371008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6945045632 is a wasteful number, since it uses less digits than its factorization.

6945045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12398 (or 12386 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The square root of 6945045632 is about 83336.9403806019. The cubic root of 6945045632 is about 1907.9121243702.

The spelling of 6945045632 in words is "six billion, nine hundred forty-five million, forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 64 68 74 112 119 128 136 148 224 238 259 272 296 448 476 518 544 592 629 896 952 1036 1088 1184 1258 1904 2072 2176 2368 2516 3808 4144 4403 4736 5032 7616 8288 8806 10064 12323 15232 16576 17612 20128 24646 33152 35224 40256 49292 70448 80512 86261 98584 140896 172522 197168 209491 281792 345044 394336 418982 455951 563584 690088 788672 837964 911902 1380176 1466437 1577344 1675928 1823804 2760352 2932874 3191657 3351856 3647608 5520704 5865748 6383314 6703712 7295216 7751167 11041408 11731496 12766628 13407424 14590432 15502334 23462992 25533256 26814848 29180864 31004668 46925984 51066512 54258169 58361728 62009336 93851968 102133024 108516338 124018672 187703936 204266048 217032676 248037344 408532096 434065352 496074688 868130704 992149376 1736261408 3472522816 6945045632