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10018470672 = 243279938959
BaseRepresentation
bin10010101010010010…
…11011101100010000
3221212012112001010100
421111021123230100
5131004212030142
64334042332400
7503160411210
oct112511335420
927765461110
1010018470672
114281190331
121b371ba100
13c38786772
146b07b0240
153d980ab4c
hex25525bb10

10018470672 has 60 divisors (see below), whose sum is σ = 32043207040. Its totient is φ = 2862419904.

The previous prime is 10018470661. The next prime is 10018470733. The reversal of 10018470672 is 27607481001.

10018470672 is a `hidden beast` number, since 100 + 18 + 470 + 6 + 72 = 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 11 ways as a sum of consecutive naturals, for example, 4968472 + ... + 4970487.

Almost surely, 210018470672 is an apocalyptic number.

10018470672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10018470672 is an abundant number, since it is smaller than the sum of its proper divisors (22024736368).

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

10018470672 is a wasteful number, since it uses less digits than its factorization.

10018470672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938980 (or 9938971 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

It can be divided in two parts, 10018 and 470672, that added together give a triangular number (480690 = T980).

The spelling of 10018470672 in words is "ten billion, eighteen million, four hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 9938959 19877918 29816877 39755836 59633754 69572713 79511672 89450631 119267508 139145426 159023344 178901262 208718139 238535016 278290852 357802524 417436278 477070032 556581704 626154417 715605048 834872556 1113163408 1252308834 1431210096 1669745112 2504617668 3339490224 5009235336 10018470672