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172238543616 = 2831975771973
BaseRepresentation
bin1010000001101000110…
…1111001101100000000
3121110120121012120200010
42200122031321230000
510310221031343431
6211043021424520
715305142315246
oct2403215715400
9543517176603
10172238543616
1167056193117
122946a40b140
131331b9623c9
14849d0a8796
15473112c846
hex281a379b00

172238543616 has 144 divisors (see below), whose sum is σ = 461765060064. Its totient is φ = 56993513472.

The previous prime is 172238543599. The next prime is 172238543627. The reversal of 172238543616 is 616345832271.

It is a super-2 number, since 2×1722385436162 (a number of 23 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, 87296806 + ... + 87298778.

It is an arithmetic number, because the mean of its divisors is an integer number (3206701806).

Almost surely, 2172238543616 is an apocalyptic number.

172238543616 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 172238543616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230882530032).

172238543616 is an abundant number, since it is smaller than the sum of its proper divisors (289526516448).

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

172238543616 is a wasteful number, since it uses less digits than its factorization.

172238543616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2752 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 172238543616 in words is "one hundred seventy-two billion, two hundred thirty-eight million, five hundred forty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 256 384 394 577 591 768 788 1154 1182 1576 1731 1973 2308 2364 3152 3462 3946 4616 4728 5919 6304 6924 7892 9232 9456 11838 12608 13848 15784 18464 18912 23676 25216 27696 31568 36928 37824 47352 50432 55392 63136 73856 75648 94704 110784 113669 126272 147712 151296 189408 221568 227338 252544 341007 378816 388681 443136 454676 505088 682014 757632 777362 909352 1138421 1166043 1364028 1515264 1554724 1818704 2276842 2332086 2728056 3109448 3415263 3637408 4553684 4664172 5456112 6218896 6830526 7274816 9107368 9328344 10912224 12437792 13661052 14549632 18214736 18656688 21824448 24875584 27322104 29099264 36429472 37313376 43648896 49751168 54644208 72858944 74626752 87297792 99502336 109288416 145717888 149253504 218576832 224268937 291435776 298507008 437153664 448537874 672806811 874307328 897075748 1345613622 1794151496 2691227244 3588302992 5382454488 7176605984 10764908976 14353211968 21529817952 28706423936 43059635904 57412847872 86119271808 172238543616