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61342322324316 = 223113791226159797
BaseRepresentation
bin11011111001010010111110…
…10101001111001101011100
322001012021020220122210202120
431330221133111033031130
531020013034003334231
6334244135052222540
715630556634431545
oct1574513725171534
9261167226583676
1061342322324316
1118600150840a30
126a6867776aa50
13282c72cbb8687
141120daca8d4cc
157159c42e0d96
hex37ca5f54f35c

61342322324316 has 48 divisors (see below), whose sum is σ = 156556083008640. Its totient is φ = 18539536115520.

The previous prime is 61342322324279. The next prime is 61342322324329.

61342322324316 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 613029871 + ... + 613129926.

It is an arithmetic number, because the mean of its divisors is an integer number (3261585062680).

Almost surely, 261342322324316 is an apocalyptic number.

61342322324316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61342322324316 is an abundant number, since it is smaller than the sum of its proper divisors (95213760684324).

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

61342322324316 is a wasteful number, since it uses less digits than its factorization.

61342322324316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226160194 (or 1226160192 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 6134232 and 2324316, that added together give a palindrome (8458548).

The spelling of 61342322324316 in words is "sixty-one trillion, three hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 379 758 1137 1516 2274 4169 4548 8338 12507 16676 25014 50028 1226159797 2452319594 3678479391 4904639188 7356958782 13487757767 14713917564 26975515534 40463273301 53951031068 80926546602 161853093204 464714563063 929429126126 1394143689189 1858858252252 2788287378378 5111860193693 5576574756756 10223720387386 15335580581079 20447440774772 30671161162158 61342322324316