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46470950640 = 243751511759
BaseRepresentation
bin101011010001111000…
…100110111011110000
311102221122021220000000
4223101320212323300
51230133030410030
633203133430000
73233410364052
oct532170467360
9142848256000
1046470950640
1118787705034
12900b03b300
1344c78a203a
14236bb6d8d2
15131eb4a860
hexad1e26ef0

46470950640 has 320 divisors, whose sum is σ = 163208601600. Its totient is φ = 12303187200.

The previous prime is 46470950623. The next prime is 46470950653. The reversal of 46470950640 is 4605907464.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26418081 + ... + 26419839.

It is an arithmetic number, because the mean of its divisors is an integer number (510026880).

Almost surely, 246470950640 is an apocalyptic number.

46470950640 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 46470950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81604300800).

46470950640 is an abundant number, since it is smaller than the sum of its proper divisors (116737650960).

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

46470950640 is a wasteful number, since it uses less digits than its factorization.

46470950640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 46470950640 in words is "forty-six billion, four hundred seventy million, nine hundred fifty thousand, six hundred forty".