Search a number
-
+
250806822864 = 243133407117973
BaseRepresentation
bin1110100110010101000…
…0000110011111010000
3212222101011021201000120
43221211100012133100
513102123021312424
6311115152350240
724056140551003
oct3514520063720
9788334251016
10250806822864
1197403a05204
1240736845380
131a860290480
14c1d3a3553a
1567cda8ca79
hex3a654067d0

250806822864 has 80 divisors (see below), whose sum is σ = 697968160512. Its totient is φ = 77148025344.

The previous prime is 250806822839. The next prime is 250806822869. The reversal of 250806822864 is 468228608052.

250806822864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250806822869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2066982 + ... + 2184954.

Almost surely, 2250806822864 is an apocalyptic number.

250806822864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

250806822864 is an abundant number, since it is smaller than the sum of its proper divisors (447161337648).

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

250806822864 is a wasteful number, since it uses less digits than its factorization.

250806822864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121404 (or 121398 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 250806822864 in words is "two hundred fifty billion, eight hundred six million, eight hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3407 6814 10221 13628 20442 27256 40884 44291 54512 81768 88582 117973 132873 163536 177164 235946 265746 353919 354328 471892 531492 707838 708656 943784 1062984 1415676 1533649 1887568 2125968 2831352 3067298 4600947 5662704 6134596 9201894 12269192 18403788 24538384 36807576 73615152 401934011 803868022 1205802033 1607736044 2411604066 3215472088 4823208132 5225142143 6430944176 9646416264 10450284286 15675426429 19292832528 20900568572 31350852858 41801137144 62701705716 83602274288 125403411432 250806822864