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172231812768 = 25317313404329
BaseRepresentation
bin1010000001100111010…
…0001110011010100000
3121110120010112121200110
42200121310032122200
510310212321002033
6211042221251320
715305031152631
oct2403164163240
9543503477613
10172231812768
1167052406134
1229468103b40
131331a446862
14849c235888
15473074d363
hex2819d0e6a0

172231812768 has 96 divisors (see below), whose sum is σ = 494145308160. Its totient is φ = 52290478080.

The previous prime is 172231812749. The next prime is 172231812787. The reversal of 172231812768 is 867218132271.

It is an interprime number because it is at equal distance from previous prime (172231812749) and next prime (172231812787).

It is a tau number, because it is divible by the number of its divisors (96).

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, 1651573 + ... + 1752756.

It is an arithmetic number, because the mean of its divisors is an integer number (5147346960).

Almost surely, 2172231812768 is an apocalyptic number.

It is an amenable number.

172231812768 is an abundant number, since it is smaller than the sum of its proper divisors (321913495392).

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

172231812768 is a wasteful number, since it uses less digits than its factorization.

172231812768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404390 (or 3404382 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The spelling of 172231812768 in words is "one hundred seventy-two billion, two hundred thirty-one million, eight hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 2108 2976 3162 4216 6324 8432 12648 16864 25296 50592 3404329 6808658 10212987 13617316 20425974 27234632 40851948 54469264 57873593 81703896 105534199 108938528 115747186 163407792 173620779 211068398 231494372 316602597 326815584 347241558 422136796 462988744 633205194 694483116 844273592 925977488 1266410388 1388966232 1688547184 1794081383 1851954976 2532820776 2777932464 3377094368 3588162766 5065641552 5382244149 5555864928 7176325532 10131283104 10764488298 14352651064 21528976596 28705302128 43057953192 57410604256 86115906384 172231812768