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61690117618052 = 227111789111195159
BaseRepresentation
bin11100000011011010110011…
…00010111111100110000100
322002102111222100212022200222
432001231121202333212010
531041212330102234202
6335112014312323512
715664651423600010
oct1601553142774604
9262374870768628
1061690117618052
11187246a5156890
126b03b5b6a3598
132856478a98481
141133b637bb540
1571ea7c9e84a2
hex381b598bf984

61690117618052 has 48 divisors (see below), whose sum is σ = 134604155427840. Its totient is φ = 24033765194400.

The previous prime is 61690117618049. The next prime is 61690117618081. The reversal of 61690117618052 is 25081671109616.

61690117618052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×616901176180524 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 61690117617985 and 61690117618003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87152 + ... + 11108007.

It is an arithmetic number, because the mean of its divisors is an integer number (2804253238080).

Almost surely, 261690117618052 is an apocalyptic number.

It is an amenable number.

61690117618052 is an abundant number, since it is smaller than the sum of its proper divisors (72914037809788).

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

61690117618052 is a wasteful number, since it uses less digits than its factorization.

61690117618052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213072 (or 11213070 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 53.

The spelling of 61690117618052 in words is "sixty-one trillion, six hundred ninety billion, one hundred seventeen million, six hundred eighteen thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 17891 35782 71564 125237 196801 250474 393602 500948 787204 1377607 2755214 5510428 11195159 22390318 44780636 78366113 123146749 156732226 246293498 313464452 492586996 862027243 1724054486 3448108972 200292589669 400585179338 801170358676 1402048127683 2203218486359 2804096255366 4406436972718 5608192510732 8812873945436 15422529404513 30845058809026 61690117618052