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19906277568 = 263176139949
BaseRepresentation
bin10010100010100000…
…011011000011000000
31220101022011200020120
4102202200123003000
5311232001340233
613051140340240
71303203365442
oct224240330300
956338150216
1019906277568
118495635a71
123a366a4680
131b53151588
14d6ba8a492
157b79064b3
hex4a281b0c0

19906277568 has 112 divisors (see below), whose sum is σ = 55863439200. Its totient is φ = 6234292224.

The previous prime is 19906277543. The next prime is 19906277569. The reversal of 19906277568 is 86577260991.

It is a super-2 number, since 2×199062775682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19906277569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1995858 + ... + 2005806.

Almost surely, 219906277568 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 19906277568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27931719600).

19906277568 is an abundant number, since it is smaller than the sum of its proper divisors (35957161632).

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

19906277568 is a wasteful number, since it uses less digits than its factorization.

19906277568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 19906277568 in words is "nineteen billion, nine hundred six million, two hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 613 816 1088 1226 1632 1839 2452 3264 3678 4904 7356 9808 9949 10421 14712 19616 19898 20842 29424 29847 31263 39232 39796 41684 58848 59694 62526 79592 83368 117696 119388 125052 159184 166736 169133 238776 250104 318368 333472 338266 477552 500208 507399 636736 666944 676532 955104 1000416 1014798 1353064 1910208 2000832 2029596 2706128 4059192 5412256 6098737 8118384 10824512 12197474 16236768 18296211 24394948 32473536 36592422 48789896 73184844 97579792 103678529 146369688 195159584 207357058 292739376 311035587 390319168 414714116 585478752 622071174 829428232 1170957504 1244142348 1658856464 2488284696 3317712928 4976569392 6635425856 9953138784 19906277568