Search a number
-
+
55901028960 = 2534572373367
BaseRepresentation
bin110100000011111101…
…100000001001100000
312100021211122111120000
4310003331200021200
51403441130411320
641403001020000
74016164622550
oct640375401140
9170254574500
1055901028960
1121786745497
12aa01184600
13536b49543a
1429c4339160
1516c297cc90
hexd03f60260

55901028960 has 960 divisors, whose sum is σ = 239143145472. Its totient is φ = 12021571584.

The previous prime is 55901028949. The next prime is 55901028973. The reversal of 55901028960 is 6982010955.

55901028960 is a `hidden beast` number, since 559 + 0 + 1 + 0 + 2 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 152318697 + ... + 152319063.

Almost surely, 255901028960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55901028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119571572736).

55901028960 is an abundant number, since it is smaller than the sum of its proper divisors (183242116512).

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

55901028960 is a wasteful number, since it uses less digits than its factorization.

55901028960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 55901028960 in words is "fifty-five billion, nine hundred one million, twenty-eight thousand, nine hundred sixty".