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23053466435032 = 2311295911248309
BaseRepresentation
bin1010011110111100011011…
…01011010111110111011000
310000121220000201021002122101
411033132031223113313120
511010201444401410112
6121010341040533144
74566362250334225
oct517361553276730
9100556021232571
1023053466435032
117388a13888800
122703abb3211b4
13cb2c17a9a437
14599b17dc694c
1529ea1844b757
hex14f78dad7dd8

23053466435032 has 48 divisors (see below), whose sum is σ = 47512737896400. Its totient is φ = 10478696923200.

The previous prime is 23053466435009. The next prime is 23053466435047.

23053466435032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230534664350322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92717694 + ... + 92966002.

It is an arithmetic number, because the mean of its divisors is an integer number (989848706175).

Almost surely, 223053466435032 is an apocalyptic number.

23053466435032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23053466435032 is an abundant number, since it is smaller than the sum of its proper divisors (24459271461368).

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

23053466435032 is a wasteful number, since it uses less digits than its factorization.

23053466435032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344248 (or 344233 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 46.

The spelling of 23053466435032 in words is "twenty-three trillion, fifty-three billion, four hundred sixty-six million, four hundred thirty-five thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 95911 191822 248309 383644 496618 767288 993236 1055021 1986472 2110042 2731399 4220084 5462798 8440168 10925596 11605231 21851192 23210462 30045389 46420924 60090778 92841848 120181556 240363112 23815564499 47631128998 95262257996 190524515992 261971209489 523942418978 1047884837956 2095769675912 2881683304379 5763366608758 11526733217516 23053466435032