Search a number
-
+
61392608864160 = 25357229439181751
BaseRepresentation
bin11011111010110000101001…
…01001001010011110100000
322001101002001110122201011020
431331120110221022132200
531021324030332123120
6334323213011245440
715634320036113460
oct1575302451123640
9261332043581136
1061392608864160
111861a506224672
126a763705a9880
1328343b51226b2
1411235bd48bba0
15716e68dd6640
hex37d614a4a7a0

61392608864160 has 384 divisors, whose sum is σ = 222485385830400. Its totient is φ = 13939416576000.

The previous prime is 61392608864117. The next prime is 61392608864177. The reversal of 61392608864160 is 6146880629316.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 61392608864094 and 61392608864103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337693285 + ... + 337875035.

It is an arithmetic number, because the mean of its divisors is an integer number (579389025600).

Almost surely, 261392608864160 is an apocalyptic number.

61392608864160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61392608864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111242692915200).

61392608864160 is an abundant number, since it is smaller than the sum of its proper divisors (161092776966240).

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

61392608864160 is a wasteful number, since it uses less digits than its factorization.

61392608864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182444 (or 182436 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 61392608864160 in words is "sixty-one trillion, three hundred ninety-two billion, six hundred eight million, eight hundred sixty-four thousand, one hundred sixty".