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106556171605656 = 23397101453183677
BaseRepresentation
bin11000001110100110001010…
…110000011101011010011000
3111222021200002210212000102120
4120032212022300131122120
5102431304014412340111
61014343121321301240
731305300160251213
oct3016461260353230
9458250083760376
10106556171605656
1130a52244a59813
12bb4b372334820
13475c285b84396
141c454bc07477a
15c4bb85964406
hex60e98ac1d698

106556171605656 has 64 divisors (see below), whose sum is σ = 271801442717280. Its totient is φ = 34804506316800.

The previous prime is 106556171605601. The next prime is 106556171605687. The reversal of 106556171605656 is 656506171655601.

It is a super-2 number, since 2×1065561716056562 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106556171605656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226356711 + ... + 226826966.

Almost surely, 2106556171605656 is an apocalyptic number.

It is an amenable number.

106556171605656 is an abundant number, since it is smaller than the sum of its proper divisors (165245271111624).

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

106556171605656 is a wasteful number, since it uses less digits than its factorization.

106556171605656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453183884 (or 453183880 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 60.

The spelling of 106556171605656 in words is "one hundred six trillion, five hundred fifty-six billion, one hundred seventy-one million, six hundred five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 97 101 194 202 291 303 388 404 582 606 776 808 1164 1212 2328 2424 9797 19594 29391 39188 58782 78376 117564 235128 453183677 906367354 1359551031 1812734708 2719102062 3625469416 5438204124 10876408248 43958816669 45771551377 87917633338 91543102754 131876450007 137314654131 175835266676 183086205508 263752900014 274629308262 351670533352 366172411016 527505800028 549258616524 1055011600056 1098517233048 4439840483569 8879680967138 13319521450707 17759361934276 26639042901414 35518723868552 53278085802828 106556171605656