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46041523640 = 23571731674657
BaseRepresentation
bin101010111000010010…
…011110010110111000
311101211201020201220022
4222320102132112320
51223243112224030
633052353350012
73216644331230
oct527022362670
9141751221808
1046041523640
1118587270192
128b0b268308
134459929518
14232ab08cc0
1512e70c2de5
hexab849e5b8

46041523640 has 256 divisors, whose sum is σ = 131360071680. Its totient is φ = 14160199680.

The previous prime is 46041523559. The next prime is 46041523667. The reversal of 46041523640 is 4632514064.

46041523640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 46041523640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9884192 + ... + 9888848.

It is an arithmetic number, because the mean of its divisors is an integer number (513125280).

Almost surely, 246041523640 is an apocalyptic number.

46041523640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46041523640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65680035840).

46041523640 is an abundant number, since it is smaller than the sum of its proper divisors (85318548040).

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

46041523640 is a wasteful number, since it uses less digits than its factorization.

46041523640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 46041523640 in words is "forty-six billion, forty-one million, five hundred twenty-three thousand, six hundred forty".