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46920867840 = 2133357111929
BaseRepresentation
bin101011101100101100…
…111010000000000000
311111002222220001101000
4223230230322000000
51232043220232330
633315525012000
73250512540030
oct535454720000
9144088801330
1046920867840
1118998674530
129115854000
134569b70132
1423b18098c0
1513493be560
hexaecb3a000

46920867840 has 1792 divisors, whose sum is σ = 226478592000. Its totient is φ = 8918138880.

The previous prime is 46920867809. The next prime is 46920867841. The reversal of 46920867840 is 4876802964.

46920867840 is a `hidden beast` number, since 469 + 20 + 86 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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 (46920867841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1617960946 + ... + 1617960974.

Almost surely, 246920867840 is an apocalyptic number.

46920867840 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 46920867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113239296000).

46920867840 is an abundant number, since it is smaller than the sum of its proper divisors (179557724160).

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

46920867840 is a wasteful number, since it uses less digits than its factorization.

46920867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 46920867840 in words is "forty-six billion, nine hundred twenty million, eight hundred sixty-seven thousand, eight hundred forty".