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10131927408 = 24323116713591
BaseRepresentation
bin10010110111110100…
…01111000101110000
3222011010000020111200
421123322033011300
5131222233134113
64353214211200
7506035650651
oct113372170560
928133006450
1010131927408
11432a233029
121b691b3b00
13c5612c325
146c18a5528
153e476c873
hex25be8f170

10131927408 has 120 divisors (see below), whose sum is σ = 29447448576. Its totient is φ = 3248553600.

The previous prime is 10131927389. The next prime is 10131927419. The reversal of 10131927408 is 80472913101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738693 + ... + 752283.

Almost surely, 210131927408 is an apocalyptic number.

10131927408 is a gapful number since it is divisible by the number (18) 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 10131927408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14723724288).

10131927408 is an abundant number, since it is smaller than the sum of its proper divisors (19315521168).

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

10131927408 is a wasteful number, since it uses less digits than its factorization.

10131927408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13803 (or 13794 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10131927408 in words is "ten billion, one hundred thirty-one million, nine hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 167 186 248 279 334 372 496 501 558 668 744 1002 1116 1336 1488 1503 2004 2232 2672 3006 4008 4464 5177 6012 8016 10354 12024 13591 15531 20708 24048 27182 31062 40773 41416 46593 54364 62124 81546 82832 93186 108728 122319 124248 163092 186372 217456 244638 248496 326184 372744 421321 489276 652368 745488 842642 978552 1263963 1685284 1957104 2269697 2527926 3370568 3791889 4539394 5055852 6741136 6809091 7583778 9078788 10111704 13618182 15167556 18157576 20223408 20427273 27236364 30335112 36315152 40854546 54472728 60670224 70360607 81709092 108945456 140721214 163418184 211081821 281442428 326836368 422163642 562884856 633245463 844327284 1125769712 1266490926 1688654568 2532981852 3377309136 5065963704 10131927408