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21154190255088 = 24311653354117327
BaseRepresentation
bin1001100111101010101111…
…11111101110001111110000
32202220022122220001110101020
410303311113333232033300
510233042240201130323
6112554033440535440
74312224361225212
oct463652777561760
982808586043336
1021154190255088
116816494a01810
1224579a7621580
13ba5aa6ca4cb7
14531c227725b2
1526a407ed3ae3
hex133d57fee3f0

21154190255088 has 160 divisors (see below), whose sum is σ = 59727959165952. Its totient is φ = 6398367052800.

The previous prime is 21154190255059. The next prime is 21154190255111. The reversal of 21154190255088 is 88055209145112.

It is a self number, because there is not a number n which added to its sum of digits gives 21154190255088.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1220871481 + ... + 1220888807.

Almost surely, 221154190255088 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 21154190255088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29863979582976).

21154190255088 is an abundant number, since it is smaller than the sum of its proper divisors (38573768910864).

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

21154190255088 is a wasteful number, since it uses less digits than its factorization.

21154190255088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21543 (or 21537 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 51.

The spelling of 21154190255088 in words is "twenty-one trillion, one hundred fifty-four billion, one hundred ninety million, two hundred fifty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 653 1306 1959 2612 3541 3918 5224 7082 7183 7836 10448 10623 14164 14366 15672 17327 21246 21549 28328 28732 31344 34654 38951 42492 43098 51981 56656 57464 69308 77902 84984 86196 103962 114928 116853 138616 155804 169968 172392 190597 207924 233706 277232 311608 344784 381194 415848 467412 571791 623216 762388 831696 934824 1143582 1524776 1869648 2287164 2312273 3049552 4574328 4624546 6936819 9148656 9249092 11314531 13873638 18498184 22629062 25435003 27747276 33943593 36996368 45258124 50870006 55494552 61354907 67887186 76305009 90516248 101740012 110989104 122709814 124459841 135774372 152610018 181032496 184064721 203480024 245419628 248919682 271548744 305220036 368129442 373379523 406960048 490839256 497839364 543097488 610440072 674903977 736258884 746759046 981678512 995678728 1220880144 1349807954 1472517768 1493518092 1991357456 2024711931 2699615908 2945035536 2987036184 4049423862 5399231816 5974072368 8098847724 10798463632 16197695448 32395390896 40064754271 80129508542 120194262813 160259017084 240388525626 320518034168 440712296981 480777051252 641036068336 881424593962 961554102504 1322136890943 1762849187924 1923108205008 2644273781886 3525698375848 5288547563772 7051396751696 10577095127544 21154190255088