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1097918464 = 2113714489
BaseRepresentation
bin100000101110000…
…1110100000000000
32211111221000222211
41001130032200000
54222031342324
6300540111504
736131103316
oct10134164000
92744830884
101097918464
11513823435
12267835594
131466023c6
14a5b5a0b6
15665c4294
hex4170e800

1097918464 has 48 divisors (see below), whose sum is σ = 2254788900. Its totient is φ = 534085632.

The previous prime is 1097918461. The next prime is 1097918473. The reversal of 1097918464 is 4648197901.

It can be written as a sum of positive squares in 2 ways, for example, as 1096934400 + 984064 = 33120^2 + 992^2 .

It is not an unprimeable number, because it can be changed into a prime (1097918461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68532 + ... + 83020.

Almost surely, 21097918464 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 1097918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127394450).

1097918464 is an abundant number, since it is smaller than the sum of its proper divisors (1156870436).

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

1097918464 is an equidigital number, since it uses as much as digits as its factorization.

1097918464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14548 (or 14528 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 1097918464 is about 33134.8527082889. The cubic root of 1097918464 is about 1031.6285745475.

The spelling of 1097918464 in words is "one billion, ninety-seven million, nine hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 4736 9472 14489 18944 28978 37888 57956 75776 115912 231824 463648 536093 927296 1072186 1854592 2144372 3709184 4288744 7418368 8577488 14836736 17154976 29673472 34309952 68619904 137239808 274479616 548959232 1097918464