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10168374096 = 2433197191723
BaseRepresentation
bin10010111100001010…
…10001001101010000
3222020122120220222000
421132011101031100
5131311100432341
64400555314000
7506660516346
oct113605211520
928218526860
1010168374096
114348866a61
121b7944b900
13c6085070a
146c6671996
153e7a6b8b6
hex25e151350

10168374096 has 160 divisors (see below), whose sum is σ = 30783744000. Its totient is φ = 3204738432.

The previous prime is 10168374089. The next prime is 10168374107. The reversal of 10168374096 is 69047386101.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5900691 + ... + 5902413.

It is an arithmetic number, because the mean of its divisors is an integer number (192398400).

Almost surely, 210168374096 is an apocalyptic number.

10168374096 is a gapful number since it is divisible by the number (16) 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 10168374096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15391872000).

10168374096 is an abundant number, since it is smaller than the sum of its proper divisors (20615369904).

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

10168374096 is a wasteful number, since it uses less digits than its factorization.

10168374096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10168374096 in words is "ten billion, one hundred sixty-eight million, three hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 719 912 1026 1368 1438 1723 2052 2157 2736 2876 3446 4104 4314 5169 5752 6471 6892 8208 8628 10338 11504 12942 13661 13784 15507 17256 19413 20676 25884 27322 27568 31014 32737 34512 38826 40983 41352 46521 51768 54644 62028 65474 77652 81966 82704 93042 98211 103536 109288 122949 124056 130948 155304 163932 186084 196422 218576 245898 248112 261896 294633 310608 327864 368847 372168 392844 491796 523792 589266 655728 737694 744336 785688 883899 983592 1178532 1238837 1475388 1571376 1767798 1967184 2357064 2477674 2950776 3535596 3716511 4714128 4955348 5901552 7071192 7433022 9910696 11149533 14142384 14866044 19821392 22299066 23537903 29732088 33448599 44598132 47075806 59464176 66897198 70613709 89196264 94151612 133794396 141227418 178392528 188303224 211841127 267588792 282454836 376606448 423682254 535177584 564909672 635523381 847364508 1129819344 1271046762 1694729016 2542093524 3389458032 5084187048 10168374096