Search a number
-
+
13172377025712 = 24341971011674091
BaseRepresentation
bin1011111110101110111011…
…0110100111110010110000
31201122021012121021201200010
42333223232312213302300
53211304012004310322
644003150110254520
72526446532215562
oct277535666476260
951567177251603
1013172377025712
114219412478523
121588a8a4b7440
137471c4215c98
1433779165b332
1517c99ca1b20c
hexbfaeeda7cb0

13172377025712 has 320 divisors, whose sum is σ = 35788387396608. Its totient is φ = 4171407360000.

The previous prime is 13172377025629. The next prime is 13172377025761. The reversal of 13172377025712 is 21752077327131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3219840787 + ... + 3219844877.

Almost surely, 213172377025712 is an apocalyptic number.

13172377025712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13172377025712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17894193698304).

13172377025712 is an abundant number, since it is smaller than the sum of its proper divisors (22616010370896).

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

13172377025712 is a wasteful number, since it uses less digits than its factorization.

13172377025712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 864360, while the sum is 48.

The spelling of 13172377025712 in words is "thirteen trillion, one hundred seventy-two billion, three hundred seventy-seven million, twenty-five thousand, seven hundred twelve".