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469060001060112 = 2433711192137285119
BaseRepresentation
bin110101010100110111000101…
…0101111011101010100010000
32021111210200211222001010102000
41222221232022233131110100
5442440034340232410422
64341335104550554000
7200541316044300630
oct15251561257352420
92244720758033360
10469060001060112
11126503258258410
1244736b79368900
13171962259c7797
1483b88a77146c0
1539364d8c6ecac
hex1aa9b8abdd510

469060001060112 has 960 divisors, whose sum is σ = 1784533325414400. Its totient is φ = 114578568714240.

The previous prime is 469060001060089. The next prime is 469060001060149. The reversal of 469060001060112 is 211060100060964.

469060001060112 is a `hidden beast` number, since 46 + 9 + 0 + 6 + 0 + 0 + 0 + 1 + 0 + 601 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1644995089 + ... + 1645280207.

It is an arithmetic number, because the mean of its divisors is an integer number (1858888880640).

Almost surely, 2469060001060112 is an apocalyptic number.

469060001060112 is a gapful number since it is divisible by the number (42) 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 469060001060112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892266662707200).

469060001060112 is an abundant number, since it is smaller than the sum of its proper divisors (1315473324354288).

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

469060001060112 is a wasteful number, since it uses less digits than its factorization.

469060001060112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285329 (or 285298 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 469060001060112 in words is "four hundred sixty-nine trillion, sixty billion, one million, sixty thousand, one hundred twelve".