Search a number
-
+
418383068961 = 311133183379033
BaseRepresentation
bin1100001011010011001…
…00101111111100100001
31110222220211120000211210
412011221210233330201
523323322031201321
6520111425100333
742140631260154
oct6055144577441
91428824500753
10418383068961
11151487376180
12691037876a9
13305b8032940
141636d827c9b
15ad3a71db76
hex616992ff21

418383068961 has 64 divisors (see below), whose sum is σ = 684662759424. Its totient is φ = 223780492800.

The previous prime is 418383068893. The next prime is 418383069007. The reversal of 418383068961 is 169860383814.

It is not a de Polignac number, because 418383068961 - 218 = 418382806817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (418383068161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 914301 + ... + 1293333.

It is an arithmetic number, because the mean of its divisors is an integer number (10697855616).

Almost surely, 2418383068961 is an apocalyptic number.

It is an amenable number.

418383068961 is a deficient number, since it is larger than the sum of its proper divisors (266279690463).

418383068961 is a wasteful number, since it uses less digits than its factorization.

418383068961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379174.

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 418383068961 in words is "four hundred eighteen billion, three hundred eighty-three million, sixty-eight thousand, nine hundred sixty-one".

Divisors: 1 3 11 13 31 33 39 83 93 143 249 341 403 429 913 1023 1079 1209 2573 2739 3237 4433 7719 11869 13299 28303 33449 35607 84909 100347 367939 379033 1103817 1137099 4169363 4927429 11750023 12508089 14782287 31459739 35250069 54201719 94379217 129250253 152750299 162605157 346057129 387750759 408976607 458250897 975251909 1038171387 1226929821 1680253289 2925755727 4498742677 5040759867 10727770999 12678274817 13496228031 32183312997 38034824451 139461022987 418383068961