Search a number
-
+
61996436301312 = 2933192113533169
BaseRepresentation
bin11100001100010101010111…
…00100000010011000000000
322010111210122020111201101000
432012022223210002120000
531111222200143120222
6335504434125012000
716026044325463422
oct1606125344023000
9263453566451330
1061996436301312
11188325a5059367
126b533a90b4000
132879314a028c6
141144901ba6812
15727a09c8e9ac
hex3862ab902600

61996436301312 has 640 divisors, whose sum is σ = 194699127744000. Its totient is φ = 19423706480640.

The previous prime is 61996436301277. The next prime is 61996436301379. The reversal of 61996436301312 is 21310363469916.

It is a happy number.

61996436301312 is a `hidden beast` number, since 6 + 1 + 99 + 64 + 363 + 0 + 131 + 2 = 666.

It is a super-2 number, since 2×619964363013122 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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, 19563405264 + ... + 19563408432.

It is an arithmetic number, because the mean of its divisors is an integer number (304217387100).

Almost surely, 261996436301312 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 61996436301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97349563872000).

61996436301312 is an abundant number, since it is smaller than the sum of its proper divisors (132702691442688).

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

61996436301312 is a wasteful number, since it uses less digits than its factorization.

61996436301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 61996436301312 in words is "sixty-one trillion, nine hundred ninety-six billion, four hundred thirty-six million, three hundred one thousand, three hundred twelve".