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10196752401 = 321131971631
BaseRepresentation
bin10010111111100011…
…00001100000010001
3222022121222200200100
421133301201200101
5131340332034101
64403451443013
7510453652053
oct113761414021
928277880610
1010196752401
11436288a000
121b86a56469
13c666a8504
146ca33b8d3
153ea2c4e86
hex25fc61811

10196752401 has 96 divisors (see below), whose sum is σ = 17320642560. Its totient is φ = 5762988000.

The previous prime is 10196752399. The next prime is 10196752429. The reversal of 10196752401 is 10425769101.

10196752401 is a `hidden beast` number, since 10 + 196 + 7 + 52 + 401 = 666.

It is not a de Polignac number, because 10196752401 - 21 = 10196752399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10196752481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16159356 + ... + 16159986.

It is an arithmetic number, because the mean of its divisors is an integer number (180423360).

Almost surely, 210196752401 is an apocalyptic number.

10196752401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10196752401 is a deficient number, since it is larger than the sum of its proper divisors (7123890159).

10196752401 is a wasteful number, since it uses less digits than its factorization.

10196752401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10196752401 in words is "ten billion, one hundred ninety-six million, seven hundred fifty-two thousand, four hundred one".

Divisors: 1 3 9 11 19 33 57 71 99 121 171 209 213 363 627 631 639 781 1089 1331 1349 1881 1893 2299 2343 3993 4047 5679 6897 6941 7029 8591 11979 11989 12141 14839 20691 20823 25289 25773 35967 44517 44801 62469 75867 76351 77319 94501 107901 131879 133551 134403 163229 227601 229053 283503 395637 403209 489687 492811 687159 839861 850509 851219 1186911 1450669 1469061 1478433 1795519 2519583 2553657 4352007 4435299 5386557 5420921 7558749 7660971 9363409 13056021 15957359 16159671 16262763 28090227 47872077 48788289 59630131 84270681 102997499 143616231 178890393 308992497 536671179 926977491 1132972489 3398917467 10196752401