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10484736840 = 2332529124269
BaseRepresentation
bin10011100001111000…
…00110001101001000
31000001200212211001200
421300330012031020
5132433043034330
64452220144200
7520551535614
oct116074061510
930050784050
1010484736840
1144a03a6a76
122047398060
13cb125a1c6
147166a4344
1541570da60
hex270f06348

10484736840 has 48 divisors (see below), whose sum is σ = 34075395900. Its totient is φ = 2795929728.

The previous prime is 10484736809. The next prime is 10484736851. The reversal of 10484736840 is 4863748401.

10484736840 is a `hidden beast` number, since 1 + 0 + 484 + 73 + 68 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10481254884 + 3481956 = 102378^2 + 1866^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14561775 + ... + 14562494.

Almost surely, 210484736840 is an apocalyptic number.

10484736840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10484736840 is an abundant number, since it is smaller than the sum of its proper divisors (23590659060).

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

10484736840 is a wasteful number, since it uses less digits than its factorization.

10484736840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29124286 (or 29124279 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10484736840 in words is "ten billion, four hundred eighty-four million, seven hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 29124269 58248538 87372807 116497076 145621345 174745614 232994152 262118421 291242690 349491228 436864035 524236842 582485380 698982456 873728070 1048473684 1164970760 1310592105 1747456140 2096947368 2621184210 3494912280 5242368420 10484736840