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146921695507876 = 221923742332
BaseRepresentation
bin100001011001111111011111…
…011110000111010110100100
3201021012120120120111011112111
4201121333133132013112210
5123224131113022223001
61240250521203330404
742642512402250322
oct4131773736072644
9637176516434474
10146921695507876
11428a5160967693
121458a4aa680a04
1363c986c269c03
14283d095a20d12
1511ebb854d4851
hex859fdf7875a4

146921695507876 has 135 divisors (see below), whose sum is σ = 280097268003861. Its totient is φ = 67422939138432.

The previous prime is 146921695507843. The next prime is 146921695507907. The reversal of 146921695507876 is 678705596129641.

The square root of 146921695507876 is 12121126.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 5411066868900 + 141510628638976 = 2326170^2 + 11895824^2 .

It is a super-2 number, since 2×1469216955078762 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 630565216656 + ... + 630565216888.

Almost surely, 2146921695507876 is an apocalyptic number.

146921695507876 is the 12121126-th square number.

It is an amenable number.

146921695507876 is a deficient number, since it is larger than the sum of its proper divisors (133175572495985).

146921695507876 is an frugal number, since it uses more digits than its factorization.

146921695507876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 76.

The spelling of 146921695507876 in words is "one hundred forty-six trillion, nine hundred twenty-one billion, six hundred ninety-five million, five hundred seven thousand, eight hundred seventy-six".

Divisors: 1 2 4 19 37 38 74 76 148 233 361 466 703 722 932 1369 1406 1444 2738 2812 4427 5476 8621 8854 13357 17242 17708 26011 26714 34484 50653 52022 53428 54289 84113 101306 104044 108578 163799 168226 202612 217156 318977 327598 336452 494209 637954 655196 962407 988418 1031491 1275908 1874161 1924814 1976836 2008693 2062982 3112181 3748322 3849628 4017386 4125964 6060563 6224362 7496644 8034772 11802149 12121126 12448724 18285733 19598329 23604298 24242252 35609059 36571466 38165167 39196658 47208596 71218118 73142932 74321641 76330334 78393316 115150697 142436236 148643282 152660668 224240831 230301394 297286564 436679513 448481662 460602788 676572121 725138173 873359026 896963324 1353144242 1412111179 1450276346 1746718052 2706288484 2749900717 2824222358 2900552692 4260575789 5499801434 5648444716 8296910747 8521151578 10999602868 16593821494 17042303156 26830112401 33187642988 52248113623 53660224802 101746326529 104496227246 107320449604 157641304193 203492653058 208992454492 315282608386 406985306116 630565216772 992714158837 1933180204051 1985428317674 3866360408102 3970856635348 7732720816204 36730423876969 73460847753938 146921695507876