Search a number
-
+
31368415616 = 27299787119
BaseRepresentation
bin11101001101101101…
…000000100110000000
32222222010012121200222
4131031231000212000
51003220303244431
622224354002212
72160224063516
oct351555004600
988863177628
1031368415616
111233771aa2a
1260b5276368
132c5ba35695
1417380984b6
15c38d3057b
hex74db40980

31368415616 has 64 divisors (see below), whose sum is σ = 65313864000. Its totient is φ = 14987083776.

The previous prime is 31368415607. The next prime is 31368415633. The reversal of 31368415616 is 61651486313.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×313684156162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316505 + ... + 403623.

It is an arithmetic number, because the mean of its divisors is an integer number (1020529125).

Almost surely, 231368415616 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 31368415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32656932000).

31368415616 is an abundant number, since it is smaller than the sum of its proper divisors (33945448384).

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

31368415616 is an equidigital number, since it uses as much as digits as its factorization.

31368415616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87259 (or 87247 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The spelling of 31368415616 in words is "thirty-one billion, three hundred sixty-eight million, four hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 97 116 128 194 232 388 464 776 928 1552 1856 2813 3104 3712 5626 6208 11252 12416 22504 45008 87119 90016 174238 180032 348476 360064 696952 1393904 2526451 2787808 5052902 5575616 8450543 10105804 11151232 16901086 20211608 33802172 40423216 67604344 80846432 135208688 161692864 245065747 270417376 323385728 490131494 540834752 980262988 1081669504 1960525976 3921051952 7842103904 15684207808 31368415616