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172892029480 = 235232911357347
BaseRepresentation
bin1010000100000100101…
…0110000001000101000
3121112021010212002202021
42201001022300020220
510313040324420410
6211231524114224
715330266000662
oct2410112601050
9545233762667
10172892029480
1167361052785
1229611235974
13133c4166c31
148521bb5532
15476d6b2eda
hex28412b0228

172892029480 has 128 divisors (see below), whose sum is σ = 423641145600. Its totient is φ = 63302643712.

The previous prime is 172892029423. The next prime is 172892029483. The reversal of 172892029480 is 84920298271.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (172892029483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2986167 + ... + 3043513.

It is an arithmetic number, because the mean of its divisors is an integer number (3309696450).

Almost surely, 2172892029480 is an apocalyptic number.

172892029480 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 172892029480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211820572800).

172892029480 is an abundant number, since it is smaller than the sum of its proper divisors (250749116120).

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

172892029480 is a wasteful number, since it uses less digits than its factorization.

172892029480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57523 (or 57519 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 172892029480 in words is "one hundred seventy-two billion, eight hundred ninety-two million, twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 113 115 116 145 184 226 230 232 290 452 460 565 580 667 904 920 1130 1160 1334 2260 2599 2668 3277 3335 4520 5198 5336 6554 6670 10396 12995 13108 13340 16385 20792 25990 26216 26680 32770 51980 57347 65540 75371 103960 114694 131080 150742 229388 286735 301484 376855 458776 573470 602968 753710 1146940 1318981 1507420 1663063 2293880 2637962 3014840 3326126 5275924 6480211 6594905 6652252 8315315 10551848 12960422 13189810 13304504 16630630 25920844 26379620 32401055 33261260 38250449 51841688 52759240 64802110 66522520 76500898 129604220 149044853 153001796 187926119 191252245 259208440 298089706 306003592 375852238 382504490 596179412 745224265 751704476 765008980 939630595 1192358824 1490448530 1503408952 1530017960 1879261190 2980897060 3758522380 4322300737 5961794120 7517044760 8644601474 17289202948 21611503685 34578405896 43223007370 86446014740 172892029480