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60614312512 = 2613233312677
BaseRepresentation
bin111000011100111001…
…010000001001000000
312210110022112010002111
4320130321100021000
51443114231000022
643502411025104
74244036104165
oct703471201100
9183408463074
1060614312512
1123785221156
12b8b773b194
13593cac7510
142d102c406c
15189b64b477
hexe1ce50240

60614312512 has 56 divisors (see below), whose sum is σ = 130090307256. Its totient is φ = 27855679488.

The previous prime is 60614312489. The next prime is 60614312537. The reversal of 60614312512 is 21521341606.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9458729536 + 51155582976 = 97256^2 + 226176^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37518 + ... + 350194.

It is an arithmetic number, because the mean of its divisors is an integer number (2323041201).

Almost surely, 260614312512 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 60614312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65045153628).

60614312512 is an abundant number, since it is smaller than the sum of its proper divisors (69475994744).

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

60614312512 is a wasteful number, since it uses less digits than its factorization.

60614312512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312935 (or 312925 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 60614312512 in words is "sixty billion, six hundred fourteen million, three hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 233 416 466 832 932 1864 3029 3728 6058 7456 12116 14912 24232 48464 96928 193856 312677 625354 1250708 2501416 4064801 5002832 8129602 10005664 16259204 20011328 32518408 65036816 72853741 130073632 145707482 260147264 291414964 582829928 947098633 1165659856 1894197266 2331319712 3788394532 4662639424 7576789064 15153578128 30307156256 60614312512