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172274451328 = 2772327313061
BaseRepresentation
bin1010000001110001011…
…0111000001110000000
3121110200002202212210101
42200130112320032000
510310304224420303
6211050343212144
715306056450410
oct2403426701600
9543602685711
10172274451328
1167074489111
122947a447054
1313326225385
1484a3b74640
154734371d1d
hex281c5b8380

172274451328 has 128 divisors (see below), whose sum is σ = 409569200640. Its totient is φ = 70572902400.

The previous prime is 172274451211. The next prime is 172274451359. The reversal of 172274451328 is 823154472271.

172274451328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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, 56278918 + ... + 56281978.

It is an arithmetic number, because the mean of its divisors is an integer number (3199759380).

Almost surely, 2172274451328 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 172274451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204784600320).

172274451328 is an abundant number, since it is smaller than the sum of its proper divisors (237294749312).

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

172274451328 is a wasteful number, since it uses less digits than its factorization.

172274451328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5824 counting only the distinct ones).

The product of its digits is 752640, while the sum is 46.

It can be divided in two parts, 17227 and 4451328, that added together give a triangular number (4468555 = T2989).

The spelling of 172274451328 in words is "one hundred seventy-two billion, two hundred seventy-four million, four hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2731 2944 3061 5152 5462 6122 10304 10924 12244 19117 20608 21427 21848 24488 38234 42854 43696 48976 62813 70403 76468 85708 87392 97952 125626 140806 152936 171416 174784 195904 251252 281612 305872 342832 349568 391808 439691 492821 502504 563224 611744 685664 879382 985642 1005008 1126448 1223488 1371328 1758764 1971284 2010016 2252896 2446976 2742656 3517528 3942568 4020032 4505792 7035056 7885136 8040064 8359591 9011584 14070112 15770272 16719182 28140224 31540544 33438364 56280448 58517137 63081088 66876728 117034274 133753456 192270593 234068548 267506912 384541186 468137096 535013824 769082372 936274192 1070027648 1345894151 1538164744 1872548384 2691788302 3076329488 3745096768 5383576604 6152658976 7490193536 10767153208 12305317952 21534306416 24610635904 43068612832 86137225664 172274451328