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172112248644 = 22376749196217
BaseRepresentation
bin1010000001001010110…
…0000111111101000100
3121110020210120010112120
42200102230013331010
510304441213424034
6211022310445540
715302046655320
oct2402254077504
9543223503476
10172112248644
1166aa0971906
12294340638b0
13132cb74315b
14848a3d0980
154724ed1c49
hex2812b07f44

172112248644 has 96 divisors (see below), whose sum is σ = 465985873920. Its totient is φ = 48423336192.

The previous prime is 172112248621. The next prime is 172112248667. The reversal of 172112248644 is 446842211271.

It is an interprime number because it is at equal distance from previous prime (172112248621) and next prime (172112248667).

It is a super-2 number, since 2×1721122486442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 172112248596 and 172112248605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27681024 + ... + 27687240.

It is an arithmetic number, because the mean of its divisors is an integer number (4854019520).

Almost surely, 2172112248644 is an apocalyptic number.

172112248644 is a gapful number since it is divisible by the number (14) 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 172112248644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232992936960).

172112248644 is an abundant number, since it is smaller than the sum of its proper divisors (293873625276).

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

172112248644 is a wasteful number, since it uses less digits than its factorization.

172112248644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11217 (or 11215 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The spelling of 172112248644 in words is "one hundred seventy-two billion, one hundred twelve million, two hundred forty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 4919 5628 6217 9838 12434 14757 18651 19676 24868 29514 34433 37302 43519 59028 68866 74604 87038 103299 130557 137732 174076 206598 261114 329573 413196 416539 522228 659146 833078 988719 1249617 1318292 1666156 1977438 2307011 2499234 2915773 3954876 4614022 4998468 5831546 6921033 8747319 9228044 11663092 13842066 17494638 27684132 30581423 34989276 61162846 91744269 122325692 183488538 214069961 366977076 428139922 642209883 856279844 1284419766 2048955341 2568839532 4097910682 6146866023 8195821364 12293732046 14342687387 24587464092 28685374774 43028062161 57370749548 86056124322 172112248644