Search a number
-
+
107023724448 = 2533135962273
BaseRepresentation
bin110001110101100011…
…1000110111110100000
3101020020200000111212020
41203223013012332200
53223141033140243
6121055505501440
710506101435154
oct1435307067640
9336220014766
10107023724448
1141430114253
12188aa041880
13a127a01104
145273bd5064
152bb5b8d283
hex18eb1c6fa0

107023724448 has 48 divisors (see below), whose sum is σ = 289999777536. Its totient is φ = 34523781120.

The previous prime is 107023724447. The next prime is 107023724449. The reversal of 107023724448 is 844427320701.

It is an interprime number because it is at equal distance from previous prime (107023724447) and next prime (107023724449).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1070237244482 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107023724443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17978161 + ... + 17984112.

It is an arithmetic number, because the mean of its divisors is an integer number (6041662032).

Almost surely, 2107023724448 is an apocalyptic number.

It is an amenable number.

107023724448 is an abundant number, since it is smaller than the sum of its proper divisors (182976053088).

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

107023724448 is a wasteful number, since it uses less digits than its factorization.

107023724448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35962317 (or 35962309 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 107023724448 in words is "one hundred seven billion, twenty-three million, seven hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 35962273 71924546 107886819 143849092 215773638 287698184 431547276 575396368 863094552 1114830463 1150792736 1726189104 2229660926 3344491389 3452378208 4459321852 6688982778 8918643704 13377965556 17837287408 26755931112 35674574816 53511862224 107023724448