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13996854432 = 253511163637
BaseRepresentation
bin11010000100100011…
…10000110010100000
31100010110112212200000
431002101300302200
5212131143320212
610232521100000
71003566204531
oct150221606240
940113485600
1013996854432
115a3294a9a0
122867627600
131420a7a1b2
1496acd8688
1556dc111dc
hex342470ca0

13996854432 has 144 divisors (see below), whose sum is σ = 45030559392. Its totient is φ = 4241445120.

The previous prime is 13996854397. The next prime is 13996854451. The reversal of 13996854432 is 23445869931.

13996854432 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 68 + 544 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3718 + ... + 167354.

It is an arithmetic number, because the mean of its divisors is an integer number (312712218).

Almost surely, 213996854432 is an apocalyptic number.

13996854432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13996854432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22515279696).

13996854432 is an abundant number, since it is smaller than the sum of its proper divisors (31033704960).

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

13996854432 is a wasteful number, since it uses less digits than its factorization.

13996854432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163673 (or 163653 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 13996854432 in words is "thirteen billion, nine hundred ninety-six million, eight hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 3168 3564 3888 4752 5346 7128 7776 9504 10692 14256 21384 28512 42768 85536 163637 327274 490911 654548 981822 1309096 1472733 1800007 1963644 2618192 2945466 3600014 3927288 4418199 5236384 5400021 5890932 7200028 7854576 8836398 10800042 11781864 13254597 14400056 15709152 16200063 17672796 21600084 23563728 26509194 28800112 32400126 35345592 39763791 43200168 47127456 48600189 53018388 57600224 64800252 70691184 79527582 86400336 97200378 106036776 129600504 141382368 145800567 159055164 172800672 194400756 212073552 259201008 291601134 318110328 388801512 424147104 437401701 518402016 583202268 636220656 777603024 874803402 1166404536 1272441312 1555206048 1749606804 2332809072 3499213608 4665618144 6998427216 13996854432