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8407020516 = 22319349105653
BaseRepresentation
bin1111101010001100…
…01111001111100100
3210200220021220002020
413311012033033210
5114204144124031
63510115343140
7415222331616
oct76506171744
923626256066
108407020516
1136245a8a44
1217675b1ab0
13a3c97206b
1459a778db6
153430e9096
hex1f518f3e4

8407020516 has 48 divisors (see below), whose sum is σ = 20708184000. Its totient is φ = 2647216512.

The previous prime is 8407020509. The next prime is 8407020533. The reversal of 8407020516 is 6150207048.

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 15 ways as a sum of consecutive naturals, for example, 26746 + ... + 132398.

It is an arithmetic number, because the mean of its divisors is an integer number (431420500).

Almost surely, 28407020516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8407020516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10354092000).

8407020516 is an abundant number, since it is smaller than the sum of its proper divisors (12301163484).

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

8407020516 is a wasteful number, since it uses less digits than its factorization.

8407020516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106028 (or 106026 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 8407020516 is about 91689.8059546425. The cubic root of 8407020516 is about 2033.3588755249.

The spelling of 8407020516 in words is "eight billion, four hundred seven million, twenty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 349 698 1047 1396 2094 4188 6631 13262 19893 26524 39786 79572 105653 211306 316959 422612 633918 1267836 2007407 4014814 6022221 8029628 12044442 24088884 36872897 73745794 110618691 147491588 221237382 442474764 700585043 1401170086 2101755129 2802340172 4203510258 8407020516