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99601986672 = 24323167333019
BaseRepresentation
bin101110011000010111…
…1011011010001110000
3100112002102201011121100
41130300233123101300
53112441102033142
6113431224124400
710124141626536
oct1346057332160
9315072634540
1099601986672
11392717a7871
1217378606700
1395142154b6
144b6c256156
1528ce319b4c
hex1730bdb470

99601986672 has 120 divisors (see below), whose sum is σ = 292034562560. Its totient is φ = 31650030720.

The previous prime is 99601986667. The next prime is 99601986683. The reversal of 99601986672 is 27668910699.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132579 + ... + 465597.

Almost surely, 299601986672 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 99601986672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146017281280).

99601986672 is an abundant number, since it is smaller than the sum of its proper divisors (192432575888).

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

99601986672 is a wasteful number, since it uses less digits than its factorization.

99601986672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333131 (or 333122 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 99601986672 in words is "ninety-nine billion, six hundred one million, nine hundred eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 67 72 93 124 134 144 186 201 248 268 279 372 402 496 536 558 603 744 804 1072 1116 1206 1488 1608 2077 2232 2412 3216 4154 4464 4824 6231 8308 9648 12462 16616 18693 24924 33232 37386 49848 74772 99696 149544 299088 333019 666038 999057 1332076 1998114 2664152 2997171 3996228 5328304 5994342 7992456 10323589 11988684 15984912 20647178 22312273 23977368 30970767 41294356 44624546 47954736 61941534 66936819 82588712 89249092 92912301 123883068 133873638 165177424 178498184 185824602 200810457 247766136 267747276 356996368 371649204 401620914 495532272 535494552 691680463 743298408 803241828 1070989104 1383360926 1486596816 1606483656 2075041389 2766721852 3212967312 4150082778 5533443704 6225124167 8300165556 11066887408 12450248334 16600331112 24900496668 33200662224 49800993336 99601986672