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172531425040 = 24513317696959
BaseRepresentation
bin1010000010101110101…
…1001001111100010000
3121111100000022111110021
42200223223021330100
510311321021100130
6211132043113224
715315326626042
oct2405353117420
9544300274407
10172531425040
1167196545287
1229530512814
131336753a020
1484c9d47a92
15474bbd237a
hex282bac9f10

172531425040 has 160 divisors (see below), whose sum is σ = 446571417600. Its totient is φ = 61559930880.

The previous prime is 172531424983. The next prime is 172531425083. The reversal of 172531425040 is 40524135271.

It is a junction number, because it is equal to n+sod(n) for n = 172531424987 and 172531425005.

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 31 ways as a sum of consecutive naturals, for example, 24789081 + ... + 24796039.

It is an arithmetic number, because the mean of its divisors is an integer number (2791071360).

Almost surely, 2172531425040 is an apocalyptic number.

172531425040 is a gapful number since it is divisible by the number (10) 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 172531425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223285708800).

172531425040 is an abundant number, since it is smaller than the sum of its proper divisors (274039992560).

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

172531425040 is a wasteful number, since it uses less digits than its factorization.

172531425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 172531425040 in words is "one hundred seventy-two billion, five hundred thirty-one million, four hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 769 806 1040 1240 1538 1612 2015 2480 3076 3224 3845 4030 6152 6448 6959 7690 8060 9997 12304 13918 15380 16120 19994 23839 27836 30760 32240 34795 39988 47678 49985 55672 61520 69590 79976 90467 95356 99970 111344 119195 139180 159952 180934 190712 199940 215729 238390 278360 309907 361868 381424 399880 431458 452335 476780 556720 619814 723736 799760 862916 904670 953560 1078645 1239628 1447472 1549535 1725832 1809340 1907120 2157290 2479256 2804477 3099070 3451664 3618680 4314580 4958512 5351471 5608954 6198140 7237360 8629160 10702942 11217908 12396280 14022385 17258320 21405884 22435816 24792560 26757355 28044770 42811768 44871632 53514710 56089540 69569123 85623536 107029420 112179080 139138246 165895601 214058840 224358160 278276492 331791202 347845615 428117680 556552984 663582404 695691230 829478005 1113105968 1327164808 1391382460 1658956010 2156642813 2654329616 2782764920 3317912020 4313285626 5565529840 6635824040 8626571252 10783214065 13271648080 17253142504 21566428130 34506285008 43132856260 86265712520 172531425040