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12741404616 = 2332321755009
BaseRepresentation
bin10111101110111001…
…00110011111001000
31012212222012102021200
423313130212133020
5202043244421431
65504152304200
7630513103143
oct136734463710
935788172250
1012741404616
115449210966
1225770a2060
13128093cb95
1488c29305a
154e88c0ee6
hex2f77267c8

12741404616 has 48 divisors (see below), whose sum is σ = 34519325100. Its totient is φ = 4245737472.

The previous prime is 12741404603. The next prime is 12741404629. The reversal of 12741404616 is 61640414721.

It is a happy number.

12741404616 is a `hidden beast` number, since 1 + 27 + 4 + 14 + 0 + 4 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (12741404603) and next prime (12741404629).

It can be written as a sum of positive squares in 2 ways, for example, as 10905624900 + 1835779716 = 104430^2 + 42846^2 .

It is a super-2 number, since 2×127414046162 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204120 + ... + 259128.

Almost surely, 212741404616 is an apocalyptic number.

It is an amenable number.

12741404616 is an abundant number, since it is smaller than the sum of its proper divisors (21777920484).

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

12741404616 is a wasteful number, since it uses less digits than its factorization.

12741404616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58238 (or 58231 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12741404616 in words is "twelve billion, seven hundred forty-one million, four hundred four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3217 6434 9651 12868 19302 25736 28953 38604 55009 57906 77208 110018 115812 165027 220036 231624 330054 440072 495081 660108 990162 1320216 1980324 3960648 176963953 353927906 530891859 707855812 1061783718 1415711624 1592675577 2123567436 3185351154 4247134872 6370702308 12741404616