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45971311401 = 3313927744221
BaseRepresentation
bin101010110100000110…
…101000101100101001
311101122211010120211000
4222310012220230221
51223122123431101
633041404425213
73215132461641
oct526406505451
9141584116730
1045971311401
1118550674744
128aab848209
134448215212
14232166d521
1512e0d54486
hexab41a8b29

45971311401 has 32 divisors (see below), whose sum is σ = 68844809600. Its totient is φ = 30316524480.

The previous prime is 45971311367. The next prime is 45971311427. The reversal of 45971311401 is 10411317954.

45971311401 is a `hidden beast` number, since 4 + 597 + 13 + 11 + 40 + 1 = 666.

It is not a de Polignac number, because 45971311401 - 223 = 45962922793 is a prime.

It is a super-2 number, since 2×459713114012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45971311901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017471 + ... + 1061691.

It is an arithmetic number, because the mean of its divisors is an integer number (2151400300).

Almost surely, 245971311401 is an apocalyptic number.

It is an amenable number.

45971311401 is a deficient number, since it is larger than the sum of its proper divisors (22873498199).

45971311401 is a wasteful number, since it uses less digits than its factorization.

45971311401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44646 (or 44640 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 45971311401 in words is "forty-five billion, nine hundred seventy-one million, three hundred eleven thousand, four hundred one".

Divisors: 1 3 9 27 139 277 417 831 1251 2493 3753 7479 38503 44221 115509 132663 346527 397989 1039581 1193967 6146719 12249217 18440157 36747651 55320471 110242953 165961413 330728859 1702641163 5107923489 15323770467 45971311401