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61287678216 = 2333409693739
BaseRepresentation
bin111001000101000001…
…111100000100001000
312212012020120122012000
4321011001330010020
52001004121200331
644053303351000
74266523445412
oct710501740410
9185166518160
1061287678216
1123aa0329836
12ba65152460
135a1946c86b
142d758c79b2
1518da80c0e6
hexe4507c108

61287678216 has 64 divisors (see below), whose sum is σ = 170660040000. Its totient is φ = 20379247488.

The previous prime is 61287678169. The next prime is 61287678227.

61287678216 is a `hidden beast` number, since 612 + 8 + 7 + 6 + 7 + 8 + 2 + 16 = 666.

61287678216 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×612876782162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 258526 + ... + 435213.

It is an arithmetic number, because the mean of its divisors is an integer number (2666563125).

Almost surely, 261287678216 is an apocalyptic number.

It is an amenable number.

61287678216 is an abundant number, since it is smaller than the sum of its proper divisors (109372361784).

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

61287678216 is a wasteful number, since it uses less digits than its factorization.

61287678216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694163 (or 694153 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 61287678216 in words is "sixty-one billion, two hundred eighty-seven million, six hundred seventy-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 409 818 1227 1636 2454 3272 3681 4908 7362 9816 11043 14724 22086 29448 44172 88344 693739 1387478 2081217 2774956 4162434 5549912 6243651 8324868 12487302 16649736 18730953 24974604 37461906 49949208 74923812 149847624 283739251 567478502 851217753 1134957004 1702435506 2269914008 2553653259 3404871012 5107306518 6809742024 7660959777 10214613036 15321919554 20429226072 30643839108 61287678216