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55947232224 = 2533134981057
BaseRepresentation
bin110100000110101101…
…110000001111100000
312100102001120212112000
4310012231300033200
51404034442412344
641411331204000
74020265425132
oct640655601740
9170361525460
1055947232224
11217aa832704
12aa14746600
135377c21650
1429ca525052
1516c6a57a69
hexd06b703e0

55947232224 has 96 divisors (see below), whose sum is σ = 175731726240. Its totient is φ = 17214529536.

The previous prime is 55947232223. The next prime is 55947232247. The reversal of 55947232224 is 42223274955.

55947232224 is a `hidden beast` number, since 5 + 594 + 7 + 2 + 32 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 55947232224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55947232223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2479297 + ... + 2501760.

It is an arithmetic number, because the mean of its divisors is an integer number (1830538815).

Almost surely, 255947232224 is an apocalyptic number.

55947232224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

55947232224 is an abundant number, since it is smaller than the sum of its proper divisors (119784494016).

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

55947232224 is a wasteful number, since it uses less digits than its factorization.

55947232224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981089 (or 4981075 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 55947232224 in words is "fifty-five billion, nine hundred forty-seven million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 4981057 9962114 14943171 19924228 29886342 39848456 44829513 59772684 64753741 79696912 89659026 119545368 129507482 134488539 159393824 179318052 194261223 239090736 259014964 268977078 358636104 388522446 478181472 518029928 537954156 582783669 717272208 777044892 1036059856 1075908312 1165567338 1434544416 1554089784 1748351007 2072119712 2151816624 2331134676 3108179568 3496702014 4303633248 4662269352 6216359136 6993404028 9324538704 13986808056 18649077408 27973616112 55947232224