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32695890216 = 23311317156269
BaseRepresentation
bin11110011100110100…
…111011000100101000
310010101122002022111220
4132130310323010220
51013430121441331
623004214222040
72235143324043
oct363464730450
9103348068456
1032695890216
1112958a83280
126405954920
133110a70002
1418224cbc5a
15cb564b296
hex79cd3b128

32695890216 has 128 divisors (see below), whose sum is σ = 93345177600. Its totient is φ = 9453024000.

The previous prime is 32695890179. The next prime is 32695890257. The reversal of 32695890216 is 61209859623.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552930 + ... + 609198.

It is an arithmetic number, because the mean of its divisors is an integer number (729259200).

Almost surely, 232695890216 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 32695890216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46672588800).

32695890216 is an abundant number, since it is smaller than the sum of its proper divisors (60649287384).

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

32695890216 is a wasteful number, since it uses less digits than its factorization.

32695890216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56391 (or 56387 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 32695890216 in words is "thirty-two billion, six hundred ninety-five million, eight hundred ninety thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 71 88 93 124 132 142 186 213 248 264 284 341 372 426 568 682 744 781 852 1023 1364 1562 1704 2046 2201 2343 2728 3124 4092 4402 4686 6248 6603 8184 8804 9372 13206 17608 18744 24211 26412 48422 52824 56269 72633 96844 112538 145266 168807 193688 225076 290532 337614 450152 581064 618959 675228 1237918 1350456 1744339 1856877 2475836 3488678 3713754 3995099 4951672 5233017 6977356 7427508 7990198 10466034 11985297 13954712 14855016 15980396 19187729 20932068 23970594 31960792 38375458 41864136 43946089 47941188 57563187 76750916 87892178 95882376 115126374 123848069 131838267 153501832 175784356 230252748 247696138 263676534 351568712 371544207 460505496 495392276 527353068 743088414 990784552 1054706136 1362328759 1486176828 2724657518 2972353656 4086986277 5449315036 8173972554 10898630072 16347945108 32695890216