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12991896324 = 22321141572
BaseRepresentation
bin11000001100110000…
…01001101100000100
31020112102112201022100
430012120021230010
5203101411140244
65545101232100
7636644203521
oct140630115404
936472481270
1012991896324
115567650000
122626b62630
1312c07c5324
148b365a148
155108a0b69
hex306609b04

12991896324 has 135 divisors (see below), whose sum is σ = 36356022885. Its totient is φ = 3911862240.

The previous prime is 12991896317. The next prime is 12991896331. The reversal of 12991896324 is 42369819921.

The square root of 12991896324 is 113982.

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 (12991896317) and next prime (12991896331).

It can be written as a sum of positive squares in only one way, i.e., 3808124100 + 9183772224 = 61710^2 + 95832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82750854 + ... + 82751010.

Almost surely, 212991896324 is an apocalyptic number.

12991896324 is the 113982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12991896324

12991896324 is an abundant number, since it is smaller than the sum of its proper divisors (23364126561).

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

12991896324 is an equidigital number, since it uses as much as digits as its factorization.

12991896324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 173 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 12991896324 in words is "twelve billion, nine hundred ninety-one million, eight hundred ninety-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 157 198 242 314 363 396 471 484 628 726 942 1089 1331 1413 1452 1727 1884 2178 2662 2826 3454 3993 4356 5181 5324 5652 6908 7986 10362 11979 14641 15543 15972 18997 20724 23958 24649 29282 31086 37994 43923 47916 49298 56991 58564 62172 73947 75988 87846 98596 113982 131769 147894 170973 175692 208967 221841 227964 263538 271139 295788 341946 417934 443682 527076 542278 626901 683892 813417 835868 887364 1084556 1253802 1626834 1880703 2298637 2440251 2507604 2982529 3253668 3761406 4597274 4880502 5965058 6895911 7522812 8947587 9194548 9761004 11930116 13791822 17895174 20687733 26842761 27583644 32807819 35790348 41375466 53685522 65615638 82750932 98423457 107371044 131231276 196846914 295270371 360886009 393693828 590540742 721772018 1082658027 1181081484 1443544036 2165316054 3247974081 4330632108 6495948162 12991896324