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197960268263010 = 235111755216391421
BaseRepresentation
bin101101000000101100110111…
…011110000010111001100010
3221221220211001110111211202220
4231000230313132002321202
5201421340112133404020
61541005405231251510
756461104663523521
oct5500546736027142
9857824043454686
10197960268263010
11580925296914a0
121a252039379b96
13865c75b410586
1436c54844784b8
1517d4602e1a240
hexb40b37782e62

197960268263010 has 128 divisors (see below), whose sum is σ = 548883458880768. Its totient is φ = 45159217152000.

The previous prime is 197960268262951. The next prime is 197960268263033. The reversal of 197960268263010 is 10362862069791.

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 63 ways as a sum of consecutive naturals, for example, 27777100 + ... + 34168520.

It is an arithmetic number, because the mean of its divisors is an integer number (4288152022506).

Almost surely, 2197960268263010 is an apocalyptic number.

197960268263010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 197960268263010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274441729440384).

197960268263010 is an abundant number, since it is smaller than the sum of its proper divisors (350923190617758).

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

197960268263010 is a wasteful number, since it uses less digits than its factorization.

197960268263010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396980.

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 197960268263010 in words is "one hundred ninety-seven trillion, nine hundred sixty billion, two hundred sixty-eight million, two hundred sixty-three thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 5521 5610 11042 16563 27605 33126 55210 60731 82815 93857 121462 165630 182193 187714 281571 303655 364386 469285 563142 607310 910965 938570 1032427 1407855 1821930 2064854 2815710 3097281 5162135 6194562 6391421 10324270 12782842 15486405 19174263 30972810 31957105 38348526 63914210 70305631 95871315 108654157 140611262 191742630 210916893 217308314 325962471 351528155 421833786 543270785 651924942 703056310 1054584465 1086541570 1195195727 1629812355 2109168930 2390391454 3259624710 3585587181 5975978635 7171174362 11951957270 17927935905 35287035341 35855871810 70574070682 105861106023 176435176705 211722212046 352870353410 388157388751 529305530115 599879600797 776314777502 1058611060230 1164472166253 1199759201594 1799638802391 1940786943755 2328944332506 2999398003985 3599277604782 3881573887510 5822360831265 5998796007970 6598675608767 8998194011955 11644721662530 13197351217534 17996388023910 19796026826301 32993378043835 39592053652602 65986756087670 98980134131505 197960268263010