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46987801920 = 263555931019
BaseRepresentation
bin101011110000101100…
…001111010101000000
311111021122211122200000
4223300230033111000
51232212334130140
633330315400000
73252254504103
oct536054172500
9144248748600
1046987801920
1118a22431054
129134153000
13457a9a72b7
1423ba67073a
1513501e1a30
hexaf0b0f540

46987801920 has 336 divisors, whose sum is σ = 168051723840. Its totient is φ = 12496674816.

The previous prime is 46987801919. The next prime is 46987801943. The reversal of 46987801920 is 2910878964.

46987801920 is a `hidden beast` number, since 469 + 87 + 80 + 1 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46111171 + ... + 46112189.

It is an arithmetic number, because the mean of its divisors is an integer number (500153940).

Almost surely, 246987801920 is an apocalyptic number.

46987801920 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 46987801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84025861920).

46987801920 is an abundant number, since it is smaller than the sum of its proper divisors (121063921920).

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

46987801920 is a wasteful number, since it uses less digits than its factorization.

46987801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 46987801920 in words is "forty-six billion, nine hundred eighty-seven million, eight hundred one thousand, nine hundred twenty".