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149609710080800 = 25524324492
BaseRepresentation
bin100010000001000110111001…
…100111111101001100100000
3201121201112210221010122011222
4202001012321213331030200
5124102201141240041200
61250105430232354212
743340642041162004
oct4201067147751440
9647645727118158
10149609710080800
1143741138029332
1214943445245968
13656319ab39818
1428d3211aac704
151246a5a226d85
hex8811b99fd320

149609710080800 has 54 divisors (see below), whose sum is σ = 365235549309603. Its totient is φ = 59843745648640.

The previous prime is 149609710080773. The next prime is 149609710080821. The reversal of 149609710080800 is 8080017906941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 8528432441104 + 141081277639696 = 2920348^2 + 11877764^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8648980.

It is a super-2 number, since 2×1496097100808002 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 345742976 + ... + 346175424.

Almost surely, 2149609710080800 is an apocalyptic number.

149609710080800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149609710080800 is an abundant number, since it is smaller than the sum of its proper divisors (215625839228803).

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

149609710080800 is an frugal number, since it uses more digits than its factorization.

149609710080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864918 (or 432456 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 53.

The spelling of 149609710080800 in words is "one hundred forty-nine trillion, six hundred nine billion, seven hundred ten million, eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 432449 864898 1729796 2162245 3459592 4324490 6919184 8648980 10811225 13838368 17297960 21622450 34595920 43244900 69191840 86489800 172979600 345959200 187012137601 374024275202 748048550404 935060688005 1496097100808 1870121376010 2992194201616 3740242752020 4675303440025 5984388403232 7480485504040 9350606880050 14960971008080 18701213760100 29921942016160 37402427520200 74804855040400 149609710080800