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45031257620514 = 232111612331410571
BaseRepresentation
bin10100011110100101010000…
…00111010100000000100010
312220102221112202202210010100
422033102220013110000202
521400243003422324024
6235435024004043230
712325254354146634
oct1217225007240042
9186387482683110
1045031257620514
1113391715a67560
125073439093516
131c18577441169
14b1974b318a54
155315766857c9
hex28f4a81d4022

45031257620514 has 48 divisors (see below), whose sum is σ = 106438253616864. Its totient is φ = 13645741334400.

The previous prime is 45031257620443. The next prime is 45031257620533. The reversal of 45031257620514 is 41502675213054.

45031257620514 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 1 + 2 + 5 + 7 + 620 + 5 + 14 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45031257620514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31218849 + ... + 32629419.

It is an arithmetic number, because the mean of its divisors is an integer number (2217463617018).

Almost surely, 245031257620514 is an apocalyptic number.

45031257620514 is an abundant number, since it is smaller than the sum of its proper divisors (61406995996350).

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

45031257620514 is a wasteful number, since it uses less digits than its factorization.

45031257620514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571823 (or 1571820 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 45031257620514 in words is "forty-five trillion, thirty-one billion, two hundred fifty-seven million, six hundred twenty thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 161233 322466 483699 967398 1410571 1451097 1773563 2821142 2902194 3547126 4231713 5320689 8463426 10641378 12695139 15516281 15962067 25390278 31032562 31924134 46548843 93097686 139646529 279293058 227430594043 454861188086 682291782129 1364583564258 2046875346387 2501736534473 4093750692774 5003473068946 7505209603419 15010419206838 22515628810257 45031257620514