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61354162012136 = 2372719059446279
BaseRepresentation
bin11011111001101001000010…
…00010000011111111101000
322001020101211001010021010212
431330310201002003333220
531020211310433342021
6334253413554000252
715631456221216050
oct1574644102037750
9261211731107125
1061354162012136
1118605176a576a4
126a6aa20876088
132830898a80606
1411217b329a560
15715e6894685b
hex37cd21083fe8

61354162012136 has 64 divisors (see below), whose sum is σ = 131973207552000. Its totient is φ = 26194662083520.

The previous prime is 61354162012061. The next prime is 61354162012147. The reversal of 61354162012136 is 63121026145316.

61354162012136 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-2 number, since 2×613541620121362 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61354162012093 and 61354162012102.

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, 137256245 + ... + 137702523.

It is an arithmetic number, because the mean of its divisors is an integer number (2062081368000).

Almost surely, 261354162012136 is an apocalyptic number.

It is an amenable number.

61354162012136 is an abundant number, since it is smaller than the sum of its proper divisors (70619045539864).

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

61354162012136 is a wasteful number, since it uses less digits than its factorization.

61354162012136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455622 (or 455618 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 61354162012136 in words is "sixty-one trillion, three hundred fifty-four billion, one hundred sixty-two million, twelve thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 271 542 1084 1897 2168 3794 7588 9059 15176 18118 36236 63413 72472 126826 253652 446279 507304 892558 1785116 2454989 3123953 3570232 4909978 6247906 9819956 12495812 17184923 19639912 24991624 34369846 68739692 120941609 137479384 241883218 483766436 846591263 967532872 1693182526 3386365052 4042841461 6772730104 8085682922 16171365844 28299890227 32342731688 56599780454 113199560908 226399121816 1095610035931 2191220071862 4382440143724 7669270251517 8764880287448 15338540503034 30677081006068 61354162012136