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45146400151 = 29412926099
BaseRepresentation
bin101010000010111011…
…110110010110010111
311022112022220202022111
4222002323312112113
51214424434301101
632423500011451
73155525032606
oct520273662627
9138468822274
1045146400151
1118167a69706
1288bb530b87
13434634c658
142283c9ba3d
15129370b251
hexa82ef6597

45146400151 has 12 divisors (see below), whose sum is σ = 47870109000. Its totient is φ = 42526420160.

The previous prime is 45146400133. The next prime is 45146400193. The reversal of 45146400151 is 15100464154.

It is a de Polignac number, because none of the positive numbers 2k-45146400151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45146400851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414301 + ... + 511798.

It is an arithmetic number, because the mean of its divisors is an integer number (3989175750).

Almost surely, 245146400151 is an apocalyptic number.

45146400151 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

45146400151 is a deficient number, since it is larger than the sum of its proper divisors (2723708849).

45146400151 is an equidigital number, since it uses as much as digits as its factorization.

45146400151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926210 (or 926169 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 45146400151 in words is "forty-five billion, one hundred forty-six million, four hundred thousand, one hundred fifty-one".

Divisors: 1 29 41 1189 1681 48749 926099 26856871 37970059 1101131711 1556772419 45146400151