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9681242172 = 22374713118719
BaseRepresentation
bin10010000010000110…
…00000100000111100
3220222200222001120220
421001003000200330
5124311344222142
64240354341340
7461624125560
oct110103004074
926880861526
109681242172
114118899598
121a6228a850
13bb3952784
1467baa96a0
153b9de62ec
hex2410c083c

9681242172 has 96 divisors (see below), whose sum is σ = 26568622080. Its totient is φ = 2686407360.

The previous prime is 9681242167. The next prime is 9681242177. The reversal of 9681242172 is 2712421869.

It is an interprime number because it is at equal distance from previous prime (9681242167) and next prime (9681242177).

It is a super-2 number, since 2×96812421722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9681242177) 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, 507829 + ... + 526547.

It is an arithmetic number, because the mean of its divisors is an integer number (276756480).

Almost surely, 29681242172 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 9681242172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284311040).

9681242172 is an abundant number, since it is smaller than the sum of its proper divisors (16887379908).

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

9681242172 is a wasteful number, since it uses less digits than its factorization.

9681242172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18911 (or 18909 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 9681242172 is about 98393.3034916503. The cubic root of 9681242172 is about 2131.2956308780.

The spelling of 9681242172 in words is "nine billion, six hundred eighty-one million, two hundred forty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 131 141 188 262 282 329 393 524 564 658 786 917 987 1316 1572 1834 1974 2751 3668 3948 5502 6157 11004 12314 18471 18719 24628 36942 37438 43099 56157 73884 74876 86198 112314 129297 131033 172396 224628 258594 262066 393099 517188 524132 786198 879793 1572396 1759586 2452189 2639379 3519172 4904378 5278758 6158551 7356567 9808756 10557516 12317102 14713134 17165323 18475653 24634204 29426268 34330646 36951306 51495969 68661292 73902612 102991938 115252883 205983876 230505766 345758649 461011532 691517298 806770181 1383034596 1613540362 2420310543 3227080724 4840621086 9681242172