Search a number
-
+
193353135440 = 2452416914193
BaseRepresentation
bin1011010000010010111…
…1101011010101010000
3200111002010000222110112
42310010233223111100
511131441400313230
6224454124420452
716653320351063
oct2640457532520
9614063028415
10193353135440
1175000893503
12315816a7728
131530522961a
14950340a8da
155069b62d95
hex2d04beb550

193353135440 has 20 divisors (see below), whose sum is σ = 449546040084. Its totient is φ = 77341254144.

The previous prime is 193353135377. The next prime is 193353135457. The reversal of 193353135440 is 44531353391.

It can be written as a sum of positive squares in 2 ways, for example, as 85154243344 + 108198892096 = 291812^2 + 328936^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1208457017 + ... + 1208457176.

Almost surely, 2193353135440 is an apocalyptic number.

193353135440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193353135440 is an abundant number, since it is smaller than the sum of its proper divisors (256192904644).

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

193353135440 is a wasteful number, since it uses less digits than its factorization.

193353135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416914206 (or 2416914200 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 41.

The spelling of 193353135440 in words is "one hundred ninety-three billion, three hundred fifty-three million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2416914193 4833828386 9667656772 12084570965 19335313544 24169141930 38670627088 48338283860 96676567720 193353135440