Search a number
-
+
1356892474392 = 23327131722953197
BaseRepresentation
bin10011101111101101000…
…110000000110000011000
311210201101011120121020100
4103233231012000300120
5134212403433140032
62515203042455400
7200014026505560
oct23575506006030
94721334517210
101356892474392
11483500478274
1219ab84664560
139ac53ac3080
1449961445da0
152546894497c
hex13bed180c18

1356892474392 has 384 divisors, whose sum is σ = 4810035484800. Its totient is φ = 335333965824.

The previous prime is 1356892474369. The next prime is 1356892474393. The reversal of 1356892474392 is 2934742986531.

1356892474392 is a `hidden beast` number, since 1 + 3 + 56 + 89 + 2 + 474 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356892474393) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25480338 + ... + 25533534.

It is an arithmetic number, because the mean of its divisors is an integer number (12526134075).

Almost surely, 21356892474392 is an apocalyptic number.

1356892474392 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 1356892474392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405017742400).

1356892474392 is an abundant number, since it is smaller than the sum of its proper divisors (3453143010408).

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

1356892474392 is a wasteful number, since it uses less digits than its factorization.

1356892474392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53475 (or 53468 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 1356892474392 in words is "one trillion, three hundred fifty-six billion, eight hundred ninety-two million, four hundred seventy-four thousand, three hundred ninety-two".