Search a number
-
+
53287946691264 = 263334988360837
BaseRepresentation
bin11000001110111000100010…
…01000100010001011000000
320222200021111121221001011000
430013130101020202023000
523441032203323110024
6305200051133452000
714136632665236015
oct1407342110421300
9228607447831130
1053287946691264
1115a8532276988a
125b87689641000
132397054b7381c
14d2321690970c
1562621d7b1cc9
hex3077112222c0

53287946691264 has 112 divisors (see below), whose sum is σ = 157105569964000. Its totient is φ = 17711752854528.

The previous prime is 53287946691257. The next prime is 53287946691283. The reversal of 53287946691264 is 46219664978235.

53287946691264 is a `hidden beast` number, since 5 + 3 + 2 + 8 + 79 + 466 + 91 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 53287946691192 and 53287946691201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43577347 + ... + 44783490.

It is an arithmetic number, because the mean of its divisors is an integer number (1402728303250).

Almost surely, 253287946691264 is an apocalyptic number.

53287946691264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

53287946691264 is an abundant number, since it is smaller than the sum of its proper divisors (103817623272736).

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

53287946691264 is a wasteful number, since it uses less digits than its factorization.

53287946691264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88361207 (or 88361191 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 53287946691264 in words is "fifty-three trillion, two hundred eighty-seven billion, nine hundred forty-six million, six hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 349 432 576 698 864 1047 1396 1728 2094 2792 3141 4188 5584 6282 8376 9423 11168 12564 16752 18846 22336 25128 33504 37692 50256 67008 75384 100512 150768 201024 301536 603072 88360837 176721674 265082511 353443348 530165022 706886696 795247533 1060330044 1413773392 1590495066 2120660088 2385742599 2827546784 3180990132 4241320176 4771485198 5655093568 6361980264 8482640352 9542970396 12723960528 16965280704 19085940792 25447921056 30837932113 38171881584 50895842112 61675864226 76343763168 92513796339 123351728452 152687526336 185027592678 246703456904 277541389017 370055185356 493406913808 555082778034 740110370712 832624167051 986813827616 1110165556068 1480220741424 1665248334102 1973627655232 2220331112136 2960441482848 3330496668204 4440662224272 5920882965696 6660993336408 8881324448544 13321986672816 17762648897088 26643973345632 53287946691264