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119812013952 = 2731021305593
BaseRepresentation
bin110111110010101011…
…0100011111110000000
3102110020220102221010020
41233211112203332000
53430333333421302
6131012455133440
711441024213061
oct1574526437600
9373226387106
10119812013952
11468a2838454
121b278974280
13b3b5278517
145b283b0568
1531b3720ebc
hex1be55a3f80

119812013952 has 64 divisors (see below), whose sum is σ = 318563409360. Its totient is φ = 39898091520.

The previous prime is 119812013947. The next prime is 119812013957. The reversal of 119812013952 is 259310218911.

It is an interprime number because it is at equal distance from previous prime (119812013947) and next prime (119812013957).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119812013957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239268 + ... + 544860.

Almost surely, 2119812013952 is an apocalyptic number.

119812013952 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 119812013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159281704680).

119812013952 is an abundant number, since it is smaller than the sum of its proper divisors (198751395408).

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

119812013952 is a wasteful number, since it uses less digits than its factorization.

119812013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306631 (or 306619 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

The spelling of 119812013952 in words is "one hundred nineteen billion, eight hundred twelve million, thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1021 2042 3063 4084 6126 8168 12252 16336 24504 32672 49008 65344 98016 130688 196032 305593 392064 611186 916779 1222372 1833558 2444744 3667116 4889488 7334232 9778976 14668464 19557952 29336928 39115904 58673856 117347712 312010453 624020906 936031359 1248041812 1872062718 2496083624 3744125436 4992167248 7488250872 9984334496 14976501744 19968668992 29953003488 39937337984 59906006976 119812013952