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55956375601 = 724727192
BaseRepresentation
bin110100000111010000…
…101000100000110001
312100102200210101212121
4310013100220200301
51404044313004401
641412255154241
74020436226200
oct640720504061
9170380711777
1055956375601
1121804a08215
12aa17815981
135379aa3329
1429cb825237
1516c7761ca1
hexd07428831

55956375601 has 27 divisors (see below), whose sum is σ = 66599142969. Its totient is φ = 46876838568.

The previous prime is 55956375593. The next prime is 55956375611. The reversal of 55956375601 is 10657365955.

The square root of 55956375601 is 236551.

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

It is not a de Polignac number, because 55956375601 - 23 = 55956375593 is a prime.

It is a super-2 number, since 2×559563756012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55956375611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77824920 + ... + 77825638.

Almost surely, 255956375601 is an apocalyptic number.

55956375601 is the 236551-st square number.

55956375601 is the 118276-th centered octagonal number.

It is an amenable number.

55956375601 is a deficient number, since it is larger than the sum of its proper divisors (10642767368).

55956375601 is an frugal number, since it uses more digits than its factorization.

55956375601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 4252500, while the sum is 52.

The spelling of 55956375601 in words is "fifty-five billion, nine hundred fifty-six million, three hundred seventy-five thousand, six hundred one".

Divisors: 1 7 47 49 329 719 2209 2303 5033 15463 33793 35231 108241 236551 516961 1588271 1655857 3618727 11117897 24297167 25331089 77825279 170080169 1141966849 1190561183 7993767943 55956375601