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61375165380 = 22325581358657
BaseRepresentation
bin111001001010001111…
…101011001111000100
312212102100012110000100
4321022033223033010
52001144020243010
644110110444100
74301635204134
oct711217531704
9185370173010
1061375165380
1124035754181
12ba8a503630
135a31621b09
142d8337cac4
1518e333e2c0
hexe4a3eb3c4

61375165380 has 72 divisors (see below), whose sum is σ = 186206536152. Its totient is φ = 16363616256.

The previous prime is 61375165367. The next prime is 61375165381. The reversal of 61375165380 is 8356157316.

61375165380 is a `hidden beast` number, since 6 + 1 + 3 + 7 + 516 + 53 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26391951936 + 34983213444 = 162456^2 + 187038^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61375165381) 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 23 ways as a sum of consecutive naturals, for example, 1017012 + ... + 1075668.

It is an arithmetic number, because the mean of its divisors is an integer number (2586201891).

Almost surely, 261375165380 is an apocalyptic number.

61375165380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61375165380 is an abundant number, since it is smaller than the sum of its proper divisors (124831370772).

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

61375165380 is a wasteful number, since it uses less digits than its factorization.

61375165380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64485 (or 64480 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 61375165380 in words is "sixty-one billion, three hundred seventy-five million, one hundred sixty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5813 11626 17439 23252 29065 34878 52317 58130 58657 69756 87195 104634 116260 117314 174390 175971 209268 234628 261585 293285 348780 351942 523170 527913 586570 703884 879855 1046340 1055826 1173140 1759710 2111652 2639565 3519420 5279130 10558260 340973141 681946282 1022919423 1363892564 1704865705 2045838846 3068758269 3409731410 4091677692 5114597115 6137516538 6819462820 10229194230 12275033076 15343791345 20458388460 30687582690 61375165380