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46474155672 = 23372331419463
BaseRepresentation
bin101011010010000100…
…110101011010011000
311102221212022201110220
4223102010311122120
51230134340440142
633203330240040
73233446543140
oct532204653230
9142855281426
1046474155672
11187894a401a
129010126020
1344c8454ac9
14236c365920
1513200802ec
hexad2135698

46474155672 has 256 divisors, whose sum is σ = 146529976320. Its totient is φ = 11990246400.

The previous prime is 46474155647. The next prime is 46474155677. The reversal of 46474155672 is 27655147464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46474155677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4906413 + ... + 4915875.

It is an arithmetic number, because the mean of its divisors is an integer number (572382720).

Almost surely, 246474155672 is an apocalyptic number.

46474155672 is a gapful number since it is divisible by the number (42) 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 46474155672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73264988160).

46474155672 is an abundant number, since it is smaller than the sum of its proper divisors (100055820648).

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

46474155672 is a wasteful number, since it uses less digits than its factorization.

46474155672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9574 (or 9570 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 51.

The spelling of 46474155672 in words is "forty-six billion, four hundred seventy-four million, one hundred fifty-five thousand, six hundred seventy-two".