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61140004116 = 223291049167483
BaseRepresentation
bin111000111100001110…
…100110110100010100
312211210221201000101220
4320330032212310110
52000203320112431
644030510250340
74263051313602
oct707416466424
9184727630356
1061140004116
1123a24a36024
12ba237b69b0
1359c49a6539
142d60046872
1518cc88bb96
hexe3c3a6d14

61140004116 has 48 divisors (see below), whose sum is σ = 147720888000. Its totient is φ = 19658367232.

The previous prime is 61140004067. The next prime is 61140004139.

61140004116 is nontrivially palindromic in base 10.

61140004116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 281311 + ... + 448793.

It is an arithmetic number, because the mean of its divisors is an integer number (3077518500).

Almost surely, 261140004116 is an apocalyptic number.

It is an amenable number.

61140004116 is an abundant number, since it is smaller than the sum of its proper divisors (86580883884).

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

61140004116 is a wasteful number, since it uses less digits than its factorization.

61140004116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168568 (or 168566 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 6114000 and 4116, that added together give a palindrome (6118116).

The spelling of 61140004116 in words is "sixty-one billion, one hundred forty million, four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 1049 2098 3147 4196 6294 12588 30421 60842 91263 121684 167483 182526 334966 365052 502449 669932 1004898 2009796 4857007 9714014 14571021 19428028 29142042 58284084 175689667 351379334 527069001 702758668 1054138002 2108276004 5095000343 10190000686 15285001029 20380001372 30570002058 61140004116