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12143891618964 = 2232726884292301
BaseRepresentation
bin1011000010110111100001…
…0110001001110010010100
31120222221111200112201011100
42300231320112021302110
53042431142223301324
641454454330510100
72362236645415500
oct260557026116224
946887450481140
1012143891618964
113962217256966
121441698895330
136a12195b6aa1
142ddaa5dcb300
15160d556094c9
hexb0b78589c94

12143891618964 has 54 divisors (see below), whose sum is σ = 35708824170474. Its totient is φ = 3469683319200.

The previous prime is 12143891618933. The next prime is 12143891618981. The reversal of 12143891618964 is 46981619834121.

12143891618964 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 3 + 8 + 9 + 1 + 618 + 9 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10780111422864 + 1363780196100 = 3283308^2 + 1167810^2 .

It is a super-4 number, since 4×121438916189644 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3442144387 + ... + 3442147914.

Almost surely, 212143891618964 is an apocalyptic number.

12143891618964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12143891618964 is an abundant number, since it is smaller than the sum of its proper divisors (23564932551510).

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

12143891618964 is a wasteful number, since it uses less digits than its factorization.

12143891618964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884292325 (or 6884292313 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 12143891618964 in words is "twelve trillion, one hundred forty-three billion, eight hundred ninety-one million, six hundred eighteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 6884292301 13768584602 20652876903 27537169204 41305753806 48190046107 61958630709 82611507612 96380092214 123917261418 144570138321 192760184428 247834522836 289140276642 337330322749 433710414963 578280553284 674660645498 867420829926 1011990968247 1349321290996 1734841659852 2023981936494 3035972904741 4047963872988 6071945809482 12143891618964