Search a number
-
+
60123798252 = 223275913130869
BaseRepresentation
bin110111111111101010…
…000101101011101100
312202012010112102000200
4313333222011223230
51441113143021002
643342005353500
74225631565360
oct677752055354
9182163472020
1060123798252
1123553353571
12b79b408890
1358922b3bab
142ca50bb2a0
15186d558b1c
hexdffa85aec

60123798252 has 144 divisors (see below), whose sum is σ = 177989011200. Its totient is φ = 16757619840.

The previous prime is 60123798233. The next prime is 60123798271. The reversal of 60123798252 is 25289732106.

60123798252 is a `hidden beast` number, since 601 + 2 + 37 + 9 + 8 + 2 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (60123798233) and next prime (60123798271).

It is a super-2 number, since 2×601237982522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 60123798198 and 60123798207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1932274 + ... + 1963142.

It is an arithmetic number, because the mean of its divisors is an integer number (1236034800).

Almost surely, 260123798252 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 60123798252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88994505600).

60123798252 is an abundant number, since it is smaller than the sum of its proper divisors (117865212948).

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

60123798252 is a wasteful number, since it uses less digits than its factorization.

60123798252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31076 (or 31071 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 60123798252 in words is "sixty billion, one hundred twenty-three million, seven hundred ninety-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 131 177 236 252 262 354 393 413 524 531 708 786 826 917 1062 1179 1239 1572 1652 1834 2124 2358 2478 2751 3668 3717 4716 4956 5502 7434 7729 8253 11004 14868 15458 16506 23187 30869 30916 33012 46374 54103 61738 69561 92607 92748 108206 123476 139122 162309 185214 216083 216412 277821 278244 324618 370428 432166 486927 555642 648249 649236 864332 973854 1111284 1296498 1821271 1944747 1947708 2592996 3642542 3889494 4043839 5463813 7285084 7778988 8087678 10927626 12131517 12748897 16175356 16391439 21855252 24263034 25497794 28306873 32782878 36394551 38246691 48526068 50995588 56613746 65565756 72789102 76493382 84920619 113227492 114740073 145578204 152986764 169841238 229480146 238586501 254761857 339682476 458960292 477173002 509523714 715759503 954346004 1019047428 1431519006 1670105507 2147278509 2863038012 3340211014 4294557018 5010316521 6680422028 8589114036 10020633042 15030949563 20041266084 30061899126 60123798252