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21004916219196 = 22371323407434293
BaseRepresentation
bin1001100011010100101101…
…00100011101110100111100
32202101001100201121202001020
410301222112210131310330
510223121032023003241
6112401305244144140
74265361255654330
oct461522644356474
982331321552036
1021004916219196
1167691536771a8
122432a87b38050
13b949a7c55c00
145289015977c0
152665bd004b66
hex131a9691dd3c

21004916219196 has 144 divisors (see below), whose sum is σ = 60671191440384. Its totient is φ = 5538119378688.

The previous prime is 21004916219113. The next prime is 21004916219227. The reversal of 21004916219196 is 69191261940012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48148626 + ... + 48582918.

It is an arithmetic number, because the mean of its divisors is an integer number (421327718336).

Almost surely, 221004916219196 is an apocalyptic number.

21004916219196 is a gapful number since it is divisible by the number (26) 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 21004916219196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30335595720192).

21004916219196 is an abundant number, since it is smaller than the sum of its proper divisors (39666275221188).

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

21004916219196 is a wasteful number, since it uses less digits than its factorization.

21004916219196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437740 (or 437725 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 21004916219196 in words is "twenty-one trillion, four billion, nine hundred sixteen million, two hundred nineteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3407 3549 4732 6814 7098 10221 13628 14196 20442 23849 40884 44291 47698 71547 88582 95396 132873 143094 177164 265746 286188 310037 434293 531492 575783 620074 868586 930111 1151566 1240148 1302879 1727349 1737172 1860222 2303132 2605758 3040051 3454698 3720444 4030481 5211516 5645809 6080102 6909396 8060962 9120153 11291618 12091443 12160204 16121924 16937427 18240306 22583236 24182886 33874854 36480612 39520663 48365772 67749708 73395517 79041326 118561989 146791034 158082652 220186551 237123978 293582068 440373102 474247956 513768619 880746204 1027537238 1479636251 1541305857 2055074476 2959272502 3082611714 4438908753 5918545004 6165223428 8877817506 10357453757 17755635012 19235271263 20714907514 31072361271 38470542526 41429815028 57705813789 62144722542 76941085052 115411627578 124289445084 134646898841 230823255156 250058526419 269293797682 403940696523 500117052838 538587595364 750175579257 807881393046 1000234105676 1500351158514 1615762786092 1750409684933 3000702317028 3500819369866 5251229054799 7001638739732 10502458109598 21004916219196