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153106850880 = 2632553162101
BaseRepresentation
bin1000111010010111100…
…0010010010001000000
3112122012021112220001200
42032211320102101000
510002030323212010
6154200351101200
714030062521354
oct2164570222100
9478167486050
10153106850880
1159a2890a205
122580b211800
1311590135869
1475a624d464
153eb172ccc0
hex23a5e12440

153106850880 has 84 divisors (see below), whose sum is σ = 526623782412. Its totient is φ = 40828492800.

The previous prime is 153106850861. The next prime is 153106850881. The reversal of 153106850880 is 88058601351.

153106850880 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 0 + 68 + 508 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109439225856 + 43667625024 = 330816^2 + 208968^2 .

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

It is not an unprimeable number, because it can be changed into a prime (153106850881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26578171 + ... + 26583930.

It is an arithmetic number, because the mean of its divisors is an integer number (6269330743).

Almost surely, 2153106850880 is an apocalyptic number.

153106850880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153106850880 is an abundant number, since it is smaller than the sum of its proper divisors (373516931532).

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

153106850880 is a wasteful number, since it uses less digits than its factorization.

153106850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53162124 (or 53162111 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 153106850880 in words is "one hundred fifty-three billion, one hundred six million, eight hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 53162101 106324202 159486303 212648404 265810505 318972606 425296808 478458909 531621010 637945212 797431515 850593616 956917818 1063242020 1275890424 1594863030 1701187232 1913835636 2126484040 2392294545 2551780848 3189726060 3402374464 3827671272 4252968080 4784589090 5103561696 6379452120 7655342544 8505936160 9569178180 10207123392 12758904240 15310685088 17011872320 19138356360 25517808480 30621370176 38276712720 51035616960 76553425440 153106850880