Search a number
-
+
3355775136 = 253371922953
BaseRepresentation
bin1100100000000101…
…0001000010100000
322122212111001002000
43020001101002200
523333034301021
61312553524000
7146105421660
oct31001210240
98585431060
103355775136
11147227a58a
12797a13600
1341631027c
1423b9781a0
1514991db26
hexc80510a0

3355775136 has 576 divisors, whose sum is σ = 12443155200. Its totient is φ = 860461056.

The previous prime is 3355775099. The next prime is 3355775149. The reversal of 3355775136 is 6315775533.

It is a super-2 number, since 2×33557751362 = 22522453526791636992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3355775091 and 3355775100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63316486 + ... + 63316538.

It is an arithmetic number, because the mean of its divisors is an integer number (21602700).

Almost surely, 23355775136 is an apocalyptic number.

3355775136 is a gapful number since it is divisible by the number (36) 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 3355775136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221577600).

3355775136 is an abundant number, since it is smaller than the sum of its proper divisors (9087380064).

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

3355775136 is a wasteful number, since it uses less digits than its factorization.

3355775136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 113 counting only the distinct ones).

The product of its digits is 992250, while the sum is 45.

The square root of 3355775136 is about 57929.0526074784. The cubic root of 3355775136 is about 1497.1464469323.

The spelling of 3355775136 in words is "three billion, three hundred fifty-five million, seven hundred seventy-five thousand, one hundred thirty-six".