Search a number
-
+
1933300795392 = 21132104888281
BaseRepresentation
bin11100001000100001101…
…101010000100000000000
320211211012001112012010200
4130020201231100200000
5223133400000423032
64040051321325200
7256450665422421
oct34104155204000
96754161465120
101933300795392
116859a999719a
1227282a636800
13110403c1a0b5
14698023bd648
153545257a47c
hex1c221b50800

1933300795392 has 72 divisors (see below), whose sum is σ = 5583727692270. Its totient is φ = 644433592320.

The previous prime is 1933300795373. The next prime is 1933300795411. The reversal of 1933300795392 is 2935970033391.

1933300795392 is a `hidden beast` number, since 1 + 9 + 3 + 3 + 30 + 0 + 79 + 539 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1933300795373) and next prime (1933300795411).

It can be written as a sum of positive squares in only one way, i.e., 1892231341056 + 41069454336 = 1375584^2 + 202656^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52425709 + ... + 52462572.

Almost surely, 21933300795392 is an apocalyptic number.

1933300795392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1933300795392 is an abundant number, since it is smaller than the sum of its proper divisors (3650426896878).

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

1933300795392 is a wasteful number, since it uses less digits than its factorization.

1933300795392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104888309 (or 104888286 counting only the distinct ones).

The product of its (nonzero) digits is 4133430, while the sum is 54.

The spelling of 1933300795392 in words is "one trillion, nine hundred thirty-three billion, three hundred million, seven hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 104888281 209776562 314664843 419553124 629329686 839106248 943994529 1258659372 1678212496 1887989058 2517318744 3356424992 3775978116 5034637488 6712849984 7551956232 10069274976 13425699968 15103912464 20138549952 26851399936 30207824928 40277099904 53702799872 60415649856 80554199808 107405599744 120831299712 161108399616 214811199488 241662599424 322216799232 483325198848 644433598464 966650397696 1933300795392