Search a number
-
+
60416387448 = 233171132395483
BaseRepresentation
bin111000010001000110…
…001110100101111000
312202221112002110221120
4320101012032211320
51442213043344243
643431020505240
74236113551164
oct702106164570
9182845073846
1060416387448
112369352611a
12b8613ab220
13590aab87b1
142cd1cc1ca4
1518890a1c83
hexe1118e978

60416387448 has 128 divisors (see below), whose sum is σ = 162045619200. Its totient is φ = 18704408576.

The previous prime is 60416387389. The next prime is 60416387459. The reversal of 60416387448 is 84478361406.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 60416387448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11016115 + ... + 11021597.

It is an arithmetic number, because the mean of its divisors is an integer number (1265981400).

Almost surely, 260416387448 is an apocalyptic number.

60416387448 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60416387448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81022809600).

60416387448 is an abundant number, since it is smaller than the sum of its proper divisors (101629231752).

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

60416387448 is a wasteful number, since it uses less digits than its factorization.

60416387448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 60416387448 in words is "sixty billion, four hundred sixteen million, three hundred eighty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 113 136 204 226 239 339 408 452 478 678 717 904 956 1356 1434 1912 1921 2712 2868 3842 4063 5483 5736 5763 7684 8126 10966 11526 12189 15368 16252 16449 21932 23052 24378 27007 32504 32898 43864 46104 48756 54014 65796 81021 93211 97512 108028 131592 162042 186422 216056 279633 324084 372844 459119 559266 619579 648168 745688 918238 1118532 1239158 1310437 1377357 1836476 1858737 2237064 2478316 2620874 2754714 3672952 3717474 3931311 4956632 5241748 5509428 7434948 7862622 10483496 10532843 11018856 14869896 15725244 21065686 22277429 31450488 31598529 42131372 44554858 63197058 66832287 84262744 89109716 126394116 133664574 148079381 178219432 252788232 267329148 296158762 444238143 534658296 592317524 888476286 1184635048 1776952572 2517349477 3553905144 5034698954 7552048431 10069397908 15104096862 20138795816 30208193724 60416387448