Search a number
-
+
60107631248 = 247295380449
BaseRepresentation
bin110111111110101100…
…011010101010010000
312202011000010001001202
4313332230122222100
51441100023144443
643340231050332
74225344302300
oct677654325220
9182130101052
1060107631248
1123545211005
12b795b109a8
13588bb43312
142ca2cad600
15186be137b8
hexdfeb1aa90

60107631248 has 60 divisors (see below), whose sum is σ = 135616013100. Its totient is φ = 25733062656.

The previous prime is 60107631239. The next prime is 60107631263. The reversal of 60107631248 is 84213670106.

It can be written as a sum of positive squares in 2 ways, for example, as 24903364864 + 35204266384 = 157808^2 + 187628^2 .

It is a super-2 number, since 2×601076312482 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706928 + ... + 787376.

It is an arithmetic number, because the mean of its divisors is an integer number (2260266885).

Almost surely, 260107631248 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 60107631248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67808006550).

60107631248 is an abundant number, since it is smaller than the sum of its proper divisors (75508381852).

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

60107631248 is a wasteful number, since it uses less digits than its factorization.

60107631248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81424 (or 81411 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 60107631248 in words is "sixty billion, one hundred seven million, six hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 953 1906 3812 6671 7624 13342 15248 26684 46697 53368 80449 93394 106736 160898 186788 321796 373576 563143 643592 747152 1126286 1287184 2252572 3942001 4505144 7884002 9010288 15768004 31536008 63072016 76667897 153335794 306671588 536675279 613343176 1073350558 1226686352 2146701116 3756726953 4293402232 7513453906 8586804464 15026907812 30053815624 60107631248