Search a number
-
+
48656719157664 = 2536011098776757
BaseRepresentation
bin10110001000000110001100…
…11101100001100110100000
320101021112111102021012211010
423010003012131201212200
522334142430101021124
6251252331015020520
713151221600563552
oct1304030635414640
9211245442235733
1048656719157664
111455a220539512
125559bb896a740
13211c402940b77
14c02dd7c614d2
15595a161d6529
hex2c40c67619a0

48656719157664 has 96 divisors (see below), whose sum is σ = 127949718004416. Its totient is φ = 16190235187200.

The previous prime is 48656719157617. The next prime is 48656719157687. The reversal of 48656719157664 is 46675191765684.

It is a tau number, because it is divible by the number of its divisors (96).

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, 633867574 + ... + 633944330.

It is an arithmetic number, because the mean of its divisors is an integer number (1332809562546).

Almost surely, 248656719157664 is an apocalyptic number.

It is an amenable number.

48656719157664 is an abundant number, since it is smaller than the sum of its proper divisors (79292998846752).

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

48656719157664 is a wasteful number, since it uses less digits than its factorization.

48656719157664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88358 (or 88350 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 75.

The spelling of 48656719157664 in words is "forty-eight trillion, six hundred fifty-six billion, seven hundred nineteen million, one hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 601 1202 1803 2404 3606 4808 7212 9616 10987 14424 19232 21974 28848 32961 43948 57696 65922 76757 87896 131844 153514 175792 230271 263688 307028 351584 460542 527376 614056 921084 1054752 1228112 1842168 2456224 3684336 6603187 7368672 13206374 19809561 26412748 39619122 46130957 52825496 79238244 92261914 105650992 138392871 158476488 184523828 211301984 276785742 316952976 369047656 553571484 633905952 738095312 843329159 1107142968 1476190624 1686658318 2214285936 2529987477 3373316636 4428571872 5059974954 6746633272 10119949908 13493266544 20239899816 26986533088 40479799632 80959599264 506840824559 1013681649118 1520522473677 2027363298236 3041044947354 4054726596472 6082089894708 8109453192944 12164179789416 16218906385888 24328359578832 48656719157664