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10151208368 = 24717411091193
BaseRepresentation
bin10010111010000111…
…10010010110110000
3222012110021211000022
421131003302112300
5131242202131433
64355143343012
7506361563450
oct113503622660
928173254008
1010151208368
11433a102104
121b73751a68
13c5a120392
146c4283d60
153e62ca698
hex25d0f25b0

10151208368 has 160 divisors (see below), whose sum is σ = 24624673920. Its totient is φ = 3954769920.

The previous prime is 10151208367. The next prime is 10151208373. The reversal of 10151208368 is 86380215101.

It is not an unprimeable number, because it can be changed into a prime (10151208367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8508380 + ... + 8509572.

It is an arithmetic number, because the mean of its divisors is an integer number (153904212).

Almost surely, 210151208368 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 10151208368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12312336960).

10151208368 is an abundant number, since it is smaller than the sum of its proper divisors (14473465552).

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

10151208368 is a wasteful number, since it uses less digits than its factorization.

10151208368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 10151208368 in words is "ten billion, one hundred fifty-one million, two hundred eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 56 68 82 109 112 119 136 164 218 238 272 287 328 436 476 574 656 697 763 872 952 1148 1193 1394 1526 1744 1853 1904 2296 2386 2788 3052 3706 4469 4592 4772 4879 5576 6104 7412 8351 8938 9544 9758 11152 12208 12971 14824 16702 17876 19088 19516 20281 25942 29648 31283 33404 35752 39032 40562 48913 51884 62566 66808 71504 75973 78064 81124 97826 103768 125132 130037 133616 141967 151946 162248 195652 207536 250264 260074 283934 303892 324496 342391 391304 500528 520148 531811 567868 607784 684782 782608 831521 910259 1040296 1063622 1135736 1215568 1369564 1663042 1820518 2080592 2127244 2210629 2271472 2739128 3326084 3641036 4254488 4421258 5331517 5478256 5820647 6652168 7282072 8508976 8842516 10663034 11641294 13304336 14564144 15474403 17685032 21326068 23282588 30948806 35370064 37320619 42652136 46565176 61897612 74641238 85304272 90635789 93130352 123795224 149282476 181271578 247590448 298564952 362543156 597129904 634450523 725086312 1268901046 1450172624 2537802092 5075604184 10151208368