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45880957056 = 2731110861969
BaseRepresentation
bin101010101110101101…
…111101100010000000
311101102112010002221210
4222232231331202000
51222431011111211
633024420050120
73212654462124
oct525655754200
9141375102853
1045880957056
1118504671130
128a85533940
13443259abcc
14231366d584
1512d7e579a6
hexaaeb7d880

45880957056 has 64 divisors (see below), whose sum is σ = 132950512800. Its totient is φ = 13903319040.

The previous prime is 45880957051. The next prime is 45880957081. The reversal of 45880957056 is 65075908854.

45880957056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 45880956987 and 45880957005.

It is not an unprimeable number, because it can be changed into a prime (45880957051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5426761 + ... + 5435208.

Almost surely, 245880957056 is an apocalyptic number.

It is an amenable number.

45880957056 is an abundant number, since it is smaller than the sum of its proper divisors (87069555744).

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

45880957056 is a wasteful number, since it uses less digits than its factorization.

45880957056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10861997 (or 10861985 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 57.

The spelling of 45880957056 in words is "forty-five billion, eight hundred eighty million, nine hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 10861969 21723938 32585907 43447876 65171814 86895752 119481659 130343628 173791504 238963318 260687256 347583008 358444977 477926636 521374512 695166016 716889954 955853272 1042749024 1390332032 1433779908 1911706544 2085498048 2867559816 3823413088 4170996096 5735119632 7646826176 11470239264 15293652352 22940478528 45880957056