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153563108813048 = 231153271912109303
BaseRepresentation
bin100010111010101000110010…
…100011010010100011111000
3202010201111020002022122122102
4202322220302203102203320
5130111434221324004143
61302333530203442532
744226365664016544
oct4272506243224370
9663644202278572
10153563108813048
1144a258265a7780
1215281686526448
13678bc290662bc
1429cc6cbc38a24
1512b47dede40b8
hex8baa328d28f8

153563108813048 has 64 divisors (see below), whose sum is σ = 320150622873600. Its totient is φ = 68459212298880.

The previous prime is 153563108812987. The next prime is 153563108813063. The reversal of 153563108813048 is 840318801365351.

It is a junction number, because it is equal to n+sod(n) for n = 153563108812984 and 153563108813002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6626765 + ... + 18736067.

It is an arithmetic number, because the mean of its divisors is an integer number (5002353482400).

Almost surely, 2153563108813048 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 153563108813048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160075311436800).

153563108813048 is an abundant number, since it is smaller than the sum of its proper divisors (166587514060552).

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

153563108813048 is a wasteful number, since it uses less digits than its factorization.

153563108813048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112092 (or 12112088 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 56.

The spelling of 153563108813048 in words is "one hundred fifty-three trillion, five hundred sixty-three billion, one hundred eight million, eight hundred thirteen thousand, forty-eight".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 1166 2332 2719 4664 5438 10876 21752 29909 59818 119636 144107 239272 288214 576428 1152856 1585177 3170354 6340708 12109303 12681416 24218606 48437212 96874424 133202333 266404666 532809332 641793059 1065618664 1283586118 2567172236 5134344472 7059723649 14119447298 28238894596 32925194857 56477789192 65850389714 131700779428 263401558856 362177143427 724354286854 1448708573708 1745035327421 2897417147416 3490070654842 6980141309684 13960282619368 19195388601631 38390777203262 76781554406524 153563108813048