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172729798912 = 28111917318661
BaseRepresentation
bin1010000011011101111…
…1111001000100000000
3121111211211120221020201
42200313133321010000
510312222312031122
6211203451014544
715323256031366
oct2406737710400
9544754527221
10172729798912
1167288517530
1229586a3a454
1313399675108
148508425636
15475e319a27
hex28377f9100

172729798912 has 144 divisors (see below), whose sum is σ = 398235136320. Its totient is φ = 73947340800.

The previous prime is 172729798889. The next prime is 172729798921. The reversal of 172729798912 is 219897927271.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9246862 + ... + 9265522.

It is an arithmetic number, because the mean of its divisors is an integer number (2765521780).

Almost surely, 2172729798912 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 172729798912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199117568160).

172729798912 is an abundant number, since it is smaller than the sum of its proper divisors (225505337408).

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

172729798912 is a wasteful number, since it uses less digits than its factorization.

172729798912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18880 (or 18866 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 64.

The spelling of 172729798912 in words is "one hundred seventy-two billion, seven hundred twenty-nine million, seven hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 173 176 209 256 304 346 352 418 608 692 704 836 1216 1384 1408 1672 1903 2432 2768 2816 3287 3344 3806 4864 5536 6574 6688 7612 11072 13148 13376 15224 18661 22144 26296 26752 30448 36157 37322 44288 52592 53504 60896 72314 74644 105184 121792 144628 149288 205271 210368 243584 289256 298576 354559 410542 420736 487168 578512 597152 709118 821084 841472 1157024 1194304 1418236 1642168 2314048 2388608 2836472 3228353 3284336 3900149 4628096 4777216 5672944 6456706 6568672 7800298 9256192 11345888 12913412 13137344 15600596 22691776 25826824 26274688 31201192 35511883 45383552 51653648 52549376 61338707 62402384 71023766 90767104 103307296 122677414 124804768 142047532 206614592 245354828 249609536 284095064 413229184 490709656 499219072 568190128 674725777 826458368 981419312 998438144 1136380256 1349451554 1962838624 2272760512 2698903108 3925677248 4545521024 5397806216 7851354496 9091042048 10795612432 15702708992 21591224864 43182449728 86364899456 172729798912