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135468533572528 = 24133121467978683
BaseRepresentation
bin11110110011010100111001…
…110100100110001110110000
3122202122122222000200222201211
4132303110321310212032300
5120224004024043310103
61200041215111005504
740351164356134552
oct3663247164461660
9582578860628654
10135468533572528
113a1899785a9522
121323a861969894
135a78821665c60
1425649d7a794d2
15109dcaa1ac36d
hex7b3539d263b0

135468533572528 has 80 divisors (see below), whose sum is σ = 291792270099456. Its totient is φ = 60504156898560.

The previous prime is 135468533572523. The next prime is 135468533572627. The reversal of 135468533572528 is 825275335864531.

It is a happy number.

It is a super-2 number, since 2×1354685335725282 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135468533572523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137929875 + ... + 138908557.

Almost surely, 2135468533572528 is an apocalyptic number.

It is an amenable number.

135468533572528 is an abundant number, since it is smaller than the sum of its proper divisors (156323736526928).

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

135468533572528 is a wasteful number, since it uses less digits than its factorization.

135468533572528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000202 (or 1000196 counting only the distinct ones).

The product of its digits is 725760000, while the sum is 67.

The spelling of 135468533572528 in words is "one hundred thirty-five trillion, four hundred sixty-eight billion, five hundred thirty-three million, five hundred seventy-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 6448 21467 42934 85868 171736 279071 343472 558142 665477 978683 1116284 1330954 1957366 2232568 2661908 3914732 4465136 5323816 7829464 8651201 10647632 12722879 15658928 17302402 25445758 30339173 34604804 50891516 60678346 69209608 101783032 121356692 138419216 203566064 242713384 394409249 485426768 788818498 1577636996 3155273992 6310547984 21009387961 42018775922 84037551844 168075103688 273122043493 336150207376 546244086986 651291026791 1092488173972 1302582053582 2184976347944 2605164107164 4369952695888 5210328214328 8466783348283 10420656428656 16933566696566 33867133393132 67734266786264 135468533572528