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61334243316 = 223217920294691
BaseRepresentation
bin111001000111110011…
…100100011111110100
312212022111012101111100
4321013303210133310
52001103031241231
644102045410100
74300630315623
oct710763443764
9185274171440
1061334243316
1124014643895
12ba78869930
135a25cc4688
142d7bb696ba
1518de9591e6
hexe47ce47f4

61334243316 has 72 divisors (see below), whose sum is σ = 156015568800. Its totient is φ = 20316179520.

The previous prime is 61334243281. The next prime is 61334243357.

61334243316 is a `hidden beast` number, since 6 + 1 + 334 + 2 + 4 + 3 + 316 = 666.

61334243316 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 13072531 + ... + 13077221.

It is an arithmetic number, because the mean of its divisors is an integer number (2166882900).

Almost surely, 261334243316 is an apocalyptic number.

It is an amenable number.

61334243316 is an abundant number, since it is smaller than the sum of its proper divisors (94681325484).

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

61334243316 is a wasteful number, since it uses less digits than its factorization.

61334243316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909 (or 6904 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 61334243316 in words is "sixty-one billion, three hundred thirty-four million, two hundred forty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 1074 1611 2029 2148 3222 4058 4691 6087 6444 8116 9382 12174 14073 18261 18764 24348 28146 36522 42219 56292 73044 84438 168876 363191 726382 839689 1089573 1452764 1679378 2179146 2519067 3268719 3358756 4358292 5038134 6537438 7557201 9518039 10076268 13074876 15114402 19036078 28554117 30228804 38072156 57108234 85662351 114216468 171324702 342649404 1703728981 3407457962 5111186943 6814915924 10222373886 15333560829 20444747772 30667121658 61334243316