Search a number
-
+
156686464 = 2711195857
BaseRepresentation
bin10010101011011…
…01100010000000
3101220211111102101
421111231202000
5310102431324
623314200144
73611545564
oct1125554200
9356744371
10156686464
1180499950
1244583054
13266004ac
1416b496a4
15db50944
hex956d880

156686464 has 64 divisors (see below), whose sum is σ = 358509600. Its totient is φ = 67461120.

The previous prime is 156686441. The next prime is 156686479. The reversal of 156686464 is 464686651.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23824 + ... + 29680.

Almost surely, 2156686464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179254800).

156686464 is an abundant number, since it is smaller than the sum of its proper divisors (201823136).

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

156686464 is a wasteful number, since it uses less digits than its factorization.

156686464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5889 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The square root of 156686464 is about 12517.4463849461. The cubic root of 156686464 is about 539.1097172934.

The spelling of 156686464 in words is "one hundred fifty-six million, six hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1216 1408 1672 2432 3344 5857 6688 11714 13376 23428 26752 46856 64427 93712 111283 128854 187424 222566 257708 374848 445132 515416 749696 890264 1030832 1224113 1780528 2061664 2448226 3561056 4123328 4896452 7122112 8246656 9792904 14244224 19585808 39171616 78343232 156686464