Search a number
-
+
61158193344 = 263517472251
BaseRepresentation
bin111000111101010011…
…111111100011000000
312211212012221010100000
4320331103333203000
52000222444141334
644032400200000
74263362031453
oct707523774300
9184765833300
1061158193344
1123a34229946
12ba29909000
1359c86a46b1
142d6261d49a
1518ce281299
hexe3d4ff8c0

61158193344 has 168 divisors, whose sum is σ = 181976337088. Its totient is φ = 20365344000.

The previous prime is 61158193337. The next prime is 61158193363. The reversal of 61158193344 is 44339185116.

61158193344 is a `hidden beast` number, since 6 + 115 + 8 + 193 + 344 = 666.

It is a super-2 number, since 2×611581933442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61158193344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27168219 + ... + 27170469.

Almost surely, 261158193344 is an apocalyptic number.

61158193344 is a gapful number since it is divisible by the number (64) 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 61158193344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90988168544).

61158193344 is an abundant number, since it is smaller than the sum of its proper divisors (120818143744).

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

61158193344 is a wasteful number, since it uses less digits than its factorization.

61158193344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4003 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 61158193344 in words is "sixty-one billion, one hundred fifty-eight million, one hundred ninety-three thousand, three hundred forty-four".