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172612894428 = 223413103139749
BaseRepresentation
bin1010000011000010000…
…1111011111011011100
3121111112200121120110000
42200300201323323130
510312002400110203
6211144113214300
715320336252112
oct2406041737334
9544480546400
10172612894428
116722852a457
1229553861390
131337b393170
1484d6ab3ab2
154753e264a3
hex283087bedc

172612894428 has 120 divisors (see below), whose sum is σ = 486438876000. Its totient is φ = 53058810240.

The previous prime is 172612894411. The next prime is 172612894429. The reversal of 172612894428 is 824498216271.

172612894428 is a `hidden beast` number, since 1 + 7 + 2 + 6 + 128 + 94 + 428 = 666.

172612894428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1726128944282 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172612894429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4322698 + ... + 4362446.

It is an arithmetic number, because the mean of its divisors is an integer number (4053657300).

Almost surely, 2172612894428 is an apocalyptic number.

172612894428 is a gapful number since it is divisible by the number (18) 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 172612894428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243219438000).

172612894428 is an abundant number, since it is smaller than the sum of its proper divisors (313825981572).

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

172612894428 is a wasteful number, since it uses less digits than its factorization.

172612894428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40809 (or 40798 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 172612894428 in words is "one hundred seventy-two billion, six hundred twelve million, eight hundred ninety-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1031 1053 1404 2062 2106 3093 4124 4212 6186 9279 12372 13403 18558 26806 27837 37116 39749 40209 53612 55674 79498 80418 83511 111348 119247 120627 158996 160836 167022 238494 241254 334044 357741 361881 476988 482508 516737 715482 723762 1033474 1073223 1085643 1430964 1447524 1550211 2066948 2146446 2171286 3100422 3219669 4292892 4342572 4650633 6200844 6439338 9301266 12878676 13951899 18602532 27903798 40981219 41855697 55807596 81962438 83711394 122943657 163924876 167422788 245887314 368830971 491774628 532755847 737661942 1065511694 1106492913 1475323884 1598267541 2131023388 2212985826 3196535082 3319478739 4425971652 4794802623 6393070164 6638957478 9589605246 13277914956 14384407869 19179210492 28768815738 43153223607 57537631476 86306447214 172612894428