Search a number
-
+
623152256040 = 2332519373244247
BaseRepresentation
bin10010001000101101100…
…01001101010000101000
32012120110112220112002200
421010112301031100220
540202203434143130
61154134443300200
763010202531526
oct11042661152050
92176415815080
10623152256040
112203062261a6
12a093051a660
13469bc4283b2
1422237087316
1511322705760
hex9116c4d428

623152256040 has 192 divisors, whose sum is σ = 2137560796800. Its totient is φ = 157005236736.

The previous prime is 623152255967. The next prime is 623152256053. The reversal of 623152256040 is 40652251326.

623152256040 is a `hidden beast` number, since 6 + 2 + 3 + 1 + 52 + 2 + 560 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 623152255986 and 623152256004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2429197 + ... + 2673443.

It is an arithmetic number, because the mean of its divisors is an integer number (11133129150).

Almost surely, 2623152256040 is an apocalyptic number.

623152256040 is a gapful number since it is divisible by the number (60) 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 623152256040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068780398400).

623152256040 is an abundant number, since it is smaller than the sum of its proper divisors (1514408540760).

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

623152256040 is a wasteful number, since it uses less digits than its factorization.

623152256040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244656 (or 244649 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 623152256040 in words is "six hundred twenty-three billion, one hundred fifty-two million, two hundred fifty-six thousand, forty".