Search a number
-
+
10158927464 = 237463467839
BaseRepresentation
bin10010111011000010…
…01110111001101000
3222012222210222121202
421131201032321220
5131301141134324
64400021023332
7506514313220
oct113541167150
928188728552
1010158927464
1143434a4624
121b76254b48
13c5b8c39aa
146c52d3080
153e6d028ae
hex25d84ee68

10158927464 has 64 divisors (see below), whose sum is σ = 21888921600. Its totient is φ = 4329952704.

The previous prime is 10158927463. The next prime is 10158927497. The reversal of 10158927464 is 46472985101.

It is a happy number.

10158927464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10158927463) 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, 12107957 + ... + 12108795.

It is an arithmetic number, because the mean of its divisors is an integer number (342014400).

Almost surely, 210158927464 is an apocalyptic number.

10158927464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10158927464 is an abundant number, since it is smaller than the sum of its proper divisors (11729994136).

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

10158927464 is a wasteful number, since it uses less digits than its factorization.

10158927464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 10158927464 in words is "ten billion, one hundred fifty-eight million, nine hundred twenty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 463 467 839 926 934 1678 1852 1868 3241 3269 3356 3704 3736 5873 6482 6538 6712 11746 12964 13076 23492 25928 26152 46984 216221 388457 391813 432442 776914 783626 864884 1513547 1553828 1567252 1729768 2719199 2742691 3027094 3107656 3134504 5438398 5485382 6054188 10876796 10970764 12108376 21753592 21941528 181409419 362818838 725637676 1269865933 1451275352 2539731866 5079463732 10158927464