Search a number
-
+
136021420557522 = 23261143218650309
BaseRepresentation
bin11110111011010111110100…
…011101000100010011010010
3122211121112001200002220111100
4132323113310131010103102
5120312033332130320042
61201143213345525230
740436136414022653
oct3673276435042322
9584545050086440
10136021420557522
113a3823a6919585
1213309a42643816
135ab89c36b8496
142583686bb752a
1510ad368d5324c
hex7bb5f47444d2

136021420557522 has 48 divisors (see below), whose sum is σ = 299565390884760. Its totient is φ = 44594067801600.

The previous prime is 136021420557521. The next prime is 136021420557523. The reversal of 136021420557522 is 225755024120631.

It is a happy number.

136021420557522 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 2 + 1 + 42 + 0 + 557 + 52 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (136021420557521) and next prime (136021420557523).

It can be written as a sum of positive squares in 4 ways, for example, as 72050201321121 + 63971219236401 = 8488239^2 + 7998201^2 .

It is a super-3 number, since 3×1360214205575223 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (136021420557521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11399304 + ... + 20049612.

Almost surely, 2136021420557522 is an apocalyptic number.

136021420557522 is an abundant number, since it is smaller than the sum of its proper divisors (163543970327238).

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

136021420557522 is a wasteful number, since it uses less digits than its factorization.

136021420557522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8664699 (or 8664696 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 136021420557522 in words is "one hundred thirty-six trillion, twenty-one billion, four hundred twenty million, five hundred fifty-seven thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 14321 28642 42963 85926 128889 257778 873581 1747162 2620743 5241486 7862229 8650309 15724458 17300618 25950927 51901854 77852781 155705562 527668849 1055337698 1583006547 3166013094 4749019641 9498039282 123881075189 247762150378 371643225567 743286451134 1114929676701 2229859353402 7556745586529 15113491173058 22670236759587 45340473519174 68010710278761 136021420557522