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10296749970 = 234513977849
BaseRepresentation
bin10011001011011101…
…11110111110010010
3222120121011002120000
421211232332332102
5132041431444340
64421423030430
7513106634133
oct114556767622
928517132500
1010296749970
114404279721
121bb443b416
13c8131ab80
146d972bc8a
15403e78d30
hex265bbef92

10296749970 has 80 divisors (see below), whose sum is σ = 29816602200. Its totient is φ = 2534582016.

The previous prime is 10296749951. The next prime is 10296750001. The reversal of 10296749970 is 7994769201.

10296749970 is a `hidden beast` number, since 1 + 0 + 29 + 67 + 499 + 70 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7186122441 + 3110627529 = 84771^2 + 55773^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 478395 + ... + 499454.

Almost surely, 210296749970 is an apocalyptic number.

10296749970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10296749970 is an abundant number, since it is smaller than the sum of its proper divisors (19519852230).

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

10296749970 is a wasteful number, since it uses less digits than its factorization.

10296749970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977881 (or 977872 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 10296749970 in words is "ten billion, two hundred ninety-six million, seven hundred forty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 977849 1955698 2933547 4889245 5867094 8800641 9778490 12712037 14667735 17601282 25424074 26401923 29335470 38136111 44003205 52803846 63560185 76272222 79205769 88006410 114408333 127120370 132009615 158411538 190680555 228816666 264019230 343224999 381361110 396028845 572041665 686449998 792057690 1029674997 1144083330 1716124995 2059349994 3432249990 5148374985 10296749970