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46376478720 = 21134511131723
BaseRepresentation
bin101011001100010000…
…001110100000000000
311102201001112012220000
4223030100032200000
51224434334304340
633145520520000
73231152364525
oct531420164000
9142631465800
1046376478720
1118739349970
128ba3480000
1344b11457b0
14235d3bb14c
1513166d8d30
hexacc40e800

46376478720 has 1920 divisors, whose sum is σ = 215766270720. Its totient is φ = 9342812160.

The previous prime is 46376478677. The next prime is 46376478721. The reversal of 46376478720 is 2787467364.

46376478720 is a `hidden beast` number, since 463 + 76 + 47 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×463764787202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46376478721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2016368629 + ... + 2016368651.

It is an arithmetic number, because the mean of its divisors is an integer number (112378266).

Almost surely, 246376478720 is an apocalyptic number.

46376478720 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 46376478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107883135360).

46376478720 is an abundant number, since it is smaller than the sum of its proper divisors (169389792000).

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

46376478720 is a wasteful number, since it uses less digits than its factorization.

46376478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 46376478720 in words is "forty-six billion, three hundred seventy-six million, four hundred seventy-eight thousand, seven hundred twenty".