Search a number
-
+
93342104676 = 22332293774143
BaseRepresentation
bin101011011101110011…
…1110111110001100100
322220221011122012212000
41112323213313301210
53012131034322201
6110514125125300
76513050540652
oct1267347676144
9286834565760
1093342104676
113664a203877
12161100b9830
138a57357102
144736b17dd2
152664999d86
hex15bb9f7c64

93342104676 has 48 divisors (see below), whose sum is σ = 243054873600. Its totient is φ = 30978157536.

The previous prime is 93342104641. The next prime is 93342104699. The reversal of 93342104676 is 67640124339.

It is a super-3 number, since 3×933421046763 (a number of 34 digits) contains 333 as substring.

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, 1862340 + ... + 1911803.

It is an arithmetic number, because the mean of its divisors is an integer number (5063643200).

Almost surely, 293342104676 is an apocalyptic number.

It is an amenable number.

93342104676 is an abundant number, since it is smaller than the sum of its proper divisors (149712768924).

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

93342104676 is a wasteful number, since it uses less digits than its factorization.

93342104676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774385 (or 3774377 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 93342104676 in words is "ninety-three billion, three hundred forty-two million, one hundred four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 229 458 687 916 1374 2061 2748 4122 6183 8244 12366 24732 3774143 7548286 11322429 15096572 22644858 33967287 45289716 67934574 101901861 135869148 203803722 407607444 864278747 1728557494 2592836241 3457114988 5185672482 7778508723 10371344964 15557017446 23335526169 31114034892 46671052338 93342104676