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196957031856 = 243132101923827
BaseRepresentation
bin1011011101101110001…
…1011100110110110000
3200211101021101212221120
42313123203130312300
511211332000004411
6230251504422240
720141531101524
oct2673343346660
9624337355846
10196957031856
11765901231a2
1232208617980
131575aa72100
149765cd1d84
1551cb244106
hex2ddb8dcdb0

196957031856 has 120 divisors (see below), whose sum is σ = 551519075520. Its totient is φ = 60540150528.

The previous prime is 196957031833. The next prime is 196957031867. The reversal of 196957031856 is 658130759691.

It is a self number, because there is not a number n which added to its sum of digits gives 196957031856.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8254215 + ... + 8278041.

It is an arithmetic number, because the mean of its divisors is an integer number (4595992296).

Almost surely, 2196957031856 is an apocalyptic number.

196957031856 is a gapful number since it is divisible by the number (16) 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 196957031856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275759537760).

196957031856 is an abundant number, since it is smaller than the sum of its proper divisors (354562043664).

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

196957031856 is a wasteful number, since it uses less digits than its factorization.

196957031856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24883 (or 24864 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 60.

The spelling of 196957031856 in words is "one hundred ninety-six billion, nine hundred fifty-seven million, thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1019 1352 2028 2038 2704 3057 4056 4076 6114 8112 8152 12228 13247 16304 23827 24456 26494 39741 47654 48912 52988 71481 79482 95308 105976 142962 158964 172211 190616 211952 285924 309751 317928 344422 381232 516633 571848 619502 635856 688844 929253 1033266 1143696 1239004 1377688 1858506 2066532 2478008 2755376 3717012 4026763 4133064 4956016 7434024 8053526 8266128 12080289 14868048 16107052 24160578 24279713 32214104 48321156 48559426 64428208 72839139 96642312 97118852 145678278 193284624 194237704 291356556 315636269 388475408 582713112 631272538 946908807 1165426224 1262545076 1893817614 2525090152 3787635228 4103271497 5050180304 7575270456 8206542994 12309814491 15150540912 16413085988 24619628982 32826171976 49239257964 65652343952 98478515928 196957031856