Search a number
-
+
53960335504 = 2431416143499
BaseRepresentation
bin110010010000010010…
…010110000010010000
312011021120220001121121
4302100102112002100
51341002321214004
640442233132024
73620121166255
oct622022260220
9164246801547
1053960335504
11209802257a9
12a55b25a014
13511c3b450a
14287c6bb42c
15160c3d2854
hexc90496090

53960335504 has 80 divisors (see below), whose sum is σ = 112367808000. Its totient is φ = 25054848000.

The previous prime is 53960335493. The next prime is 53960335553. The reversal of 53960335504 is 40553306935.

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 15 ways as a sum of consecutive naturals, for example, 1218747 + ... + 1262245.

It is an arithmetic number, because the mean of its divisors is an integer number (1404597600).

Almost surely, 253960335504 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 53960335504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56183904000).

53960335504 is an abundant number, since it is smaller than the sum of its proper divisors (58407472496).

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

53960335504 is a wasteful number, since it uses less digits than its factorization.

53960335504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43640 (or 43634 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 43.

The spelling of 53960335504 in words is "fifty-three billion, nine hundred sixty million, three hundred thirty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 31 41 61 62 82 122 124 164 244 248 328 488 496 656 976 1271 1891 2501 2542 3782 5002 5084 7564 10004 10168 15128 20008 20336 30256 40016 43499 77531 86998 155062 173996 310124 347992 620248 695984 1240496 1348469 1783459 2653439 2696938 3566918 5306878 5393876 7133836 10613756 10787752 14267672 21227512 21575504 28535344 42455024 55287229 82256609 108790999 110574458 164513218 217581998 221148916 329026436 435163996 442297832 658052872 870327992 884595664 1316105744 1740655984 3372520969 6745041938 13490083876 26980167752 53960335504