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9912392721 = 32721124312
BaseRepresentation
bin10010011101101001…
…10001110000010001
3221120210220201112100
421032310301300101
5130300033031341
64315332551013
7500431643100
oct111664616021
927523821470
109912392721
114227318400
121b07782469
13c1c7c564a
146a067a037
153d03553b6
hex24ed31c11

9912392721 has 81 divisors (see below), whose sum is σ = 18349878729. Its totient is φ = 5137347600.

The previous prime is 9912392713. The next prime is 9912392729. The reversal of 9912392721 is 1272932199.

The square root of 9912392721 is 99561.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (9912392713) and next prime (9912392729).

It is not a de Polignac number, because 9912392721 - 23 = 9912392713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9912392729) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22998376 + ... + 22998806.

Almost surely, 29912392721 is an apocalyptic number.

9912392721 is the 99561-st square number.

9912392721 is the 49781-st centered octagonal number.

It is an amenable number.

9912392721 is a deficient number, since it is larger than the sum of its proper divisors (8437486008).

9912392721 is a wasteful number, since it uses less digits than its factorization.

9912392721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 452 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The cubic root of 9912392721 is about 2148.1247554280.

It can be divided in two parts, 99123 and 92721, that added together give a square (191844 = 4382).

The spelling of 9912392721 in words is "nine billion, nine hundred twelve million, three hundred ninety-two thousand, seven hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 431 441 539 693 847 1089 1293 1617 2541 3017 3879 4741 4851 5929 7623 9051 14223 17787 21119 27153 33187 42669 52151 53361 63357 99561 156453 185761 190071 232309 298683 365057 469359 557283 696927 1095171 1300327 1671849 2043371 2090781 2555399 3285513 3900981 6130113 7666197 9102289 11702943 14303597 18390339 22477081 22998591 27306867 42910791 67431243 81920601 100125179 128732373 157339567 202293729 300375537 472018701 901126611 1101376969 1416056103 3304130907 9912392721