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10218292912 = 242931827859
BaseRepresentation
bin10011000010000111…
…01100011010110000
3222101010112001201001
421201003230122300
5131411340333122
64405541251344
7511135025302
oct114103543260
928333461631
1010218292912
114373a61783
121b92103b54
13c6acaab89
146cd147972
153ec12c527
hex2610ec6b0

10218292912 has 80 divisors (see below), whose sum is σ = 21191500800. Its totient is φ = 4762517760.

The previous prime is 10218292907. The next prime is 10218292919. The reversal of 10218292912 is 21929281201.

It is not an unprimeable number, because it can be changed into a prime (10218292919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11895139 + ... + 11895997.

It is an arithmetic number, because the mean of its divisors is an integer number (264893760).

Almost surely, 210218292912 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 10218292912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10595750400).

10218292912 is an abundant number, since it is smaller than the sum of its proper divisors (10973207888).

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

10218292912 is a wasteful number, since it uses less digits than its factorization.

10218292912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 10218292912 in words is "ten billion, two hundred eighteen million, two hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 827 859 899 1654 1718 1798 3308 3436 3596 6616 6872 7192 13232 13744 14384 23983 24911 25637 26629 47966 49822 51274 53258 95932 99644 102548 106516 191864 199288 205096 213032 383728 398576 410192 426064 710393 743473 772241 1420786 1486946 1544482 2841572 2973892 3088964 5683144 5947784 6177928 11366288 11895568 12355856 20601397 22022183 41202794 44044366 82405588 88088732 164811176 176177464 329622352 352354928 638643307 1277286614 2554573228 5109146456 10218292912