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60105362980 = 22513521577769
BaseRepresentation
bin110111111110100011…
…110000111000100100
312202010211211210120211
4313332203300320210
51441043433103410
643340110305204
74225316104255
oct677643607044
9182124753524
1060105362980
1123543a01903
12b7951b8204
13588b52aa50
142ca287cb2c
15186bb1668a
hexdfe8f0e24

60105362980 has 96 divisors (see below), whose sum is σ = 136604936160. Its totient is φ = 22083010560.

The previous prime is 60105362963. The next prime is 60105362981. The reversal of 60105362980 is 8926350106.

It can be written as a sum of positive squares in 16 ways, for example, as 12467062336 + 47638300644 = 111656^2 + 218262^2 .

It is a super-2 number, since 2×601053629802 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60105362981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78160036 + ... + 78160804.

It is an arithmetic number, because the mean of its divisors is an integer number (1422968085).

Almost surely, 260105362980 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 60105362980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68302468080).

60105362980 is an abundant number, since it is smaller than the sum of its proper divisors (76499573180).

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

60105362980 is a wasteful number, since it uses less digits than its factorization.

60105362980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 60105362980 in words is "sixty billion, one hundred five million, three hundred sixty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 521 577 769 1042 1154 1538 2084 2308 2605 2885 3076 3845 5210 5770 6773 7501 7690 9997 10420 11540 13546 15002 15380 19994 27092 30004 33865 37505 39988 49985 67730 75010 99970 135460 150020 199940 300617 400649 443713 601234 801298 887426 1202468 1503085 1602596 1774852 2003245 2218565 3006170 3908021 4006490 4437130 5208437 5768269 6012340 7816042 8012980 8874260 10416874 11536538 15632084 19540105 20833748 23073076 26042185 28841345 39080210 52084370 57682690 78160420 104168740 115365380 231174473 462348946 924697892 1155872365 2311744730 3005268149 4623489460 6010536298 12021072596 15026340745 30052681490 60105362980