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61142224116 = 22379463913903
BaseRepresentation
bin111000111100010111…
…000100110011110100
312211211002212210200010
4320330113010303310
52000204402132431
644031030020220
74263106221111
oct707427046364
9184732783603
1061142224116
1123a26211a36
12ba244a7670
1359c52a2b4c
142d60463908
1518ccb79846
hexe3c5c4cf4

61142224116 has 48 divisors (see below), whose sum is σ = 144512614400. Its totient is φ = 20116972512.

The previous prime is 61142224111. The next prime is 61142224139.

61142224116 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 not an unprimeable number, because it can be changed into a prime (61142224111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4390821 + ... + 4404723.

Almost surely, 261142224116 is an apocalyptic number.

It is an amenable number.

61142224116 is an abundant number, since it is smaller than the sum of its proper divisors (83370390284).

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

61142224116 is a wasteful number, since it uses less digits than its factorization.

61142224116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18628 (or 18626 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The spelling of 61142224116 in words is "sixty-one billion, one hundred forty-two million, two hundred twenty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 79 158 237 316 474 948 4639 9278 13903 13917 18556 27806 27834 41709 55612 55668 83418 166836 366481 732962 1098337 1099443 1465924 2196674 2198886 3295011 4393348 4397772 6590022 13180044 64496017 128992034 193488051 257984068 386976102 773952204 5095185343 10190370686 15285556029 20380741372 30571112058 61142224116