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13623902976 = 28397199919
BaseRepresentation
bin11001011000000110…
…00100001100000000
31022011110202222110010
430230003010030000
5210400204343401
610131515304520
7661420156515
oct145403041400
938143688403
1013623902976
115861379a52
12278274b140
131391719368
1493357530c
1554b0e1ed6
hex32c0c4300

13623902976 has 144 divisors (see below), whose sum is σ = 36857408000. Its totient is φ = 4467032064.

The previous prime is 13623902951. The next prime is 13623902993. The reversal of 13623902976 is 67920932631.

It is a happy number.

It is a super-2 number, since 2×136239029762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14824245 + ... + 14825163.

Almost surely, 213623902976 is an apocalyptic number.

13623902976 is a gapful number since it is divisible by the number (16) 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 13623902976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18428704000).

13623902976 is an abundant number, since it is smaller than the sum of its proper divisors (23233505024).

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

13623902976 is an equidigital number, since it uses as much as digits as its factorization.

13623902976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 13623902976 in words is "thirteen billion, six hundred twenty-three million, nine hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 199 256 291 384 388 398 582 597 768 776 796 919 1164 1194 1552 1592 1838 2328 2388 2757 3104 3184 3676 4656 4776 5514 6208 6368 7352 9312 9552 11028 12416 12736 14704 18624 19104 19303 22056 24832 25472 29408 37248 38208 38606 44112 50944 57909 58816 74496 76416 77212 88224 89143 115818 117632 152832 154424 176448 178286 182881 231636 235264 267429 308848 352896 356572 365762 463272 534858 548643 617696 705792 713144 731524 926544 1069716 1097286 1235392 1426288 1463048 1853088 2139432 2194572 2470784 2852576 2926096 3706176 4278864 4389144 4941568 5705152 5852192 7412352 8557728 8778288 11410304 11704384 14824704 17115456 17556576 17739457 22820608 23408768 34230912 35113152 35478914 46817536 53218371 68461824 70226304 70957828 106436742 140452608 141915656 212873484 283831312 425746968 567662624 851493936 1135325248 1702987872 2270650496 3405975744 4541300992 6811951488 13623902976