Search a number
-
+
2630293585920 = 216365711213
BaseRepresentation
bin100110010001101001101…
…101110000000000000000
3100022110020200102112000000
4212101221231300000000
5321043320124222140
65332201252000000
7361014061405410
oct46215155600000
910273220375000
102630293585920
11924557180900
12365928000000
1316106034a140
1491442162640
1548647617a30
hex26469b70000

2630293585920 has 2856 divisors, whose sum is σ = 12804059653728. Its totient is φ = 504511856640.

The previous prime is 2630293585897. The next prime is 2630293585973. The reversal of 2630293585920 is 295853920362.

2630293585920 is a `hidden beast` number, since 2 + 6 + 30 + 2 + 9 + 3 + 585 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 202330275834 + ... + 202330275846.

Almost surely, 22630293585920 is an apocalyptic number.

2630293585920 is a gapful number since it is divisible by the number (20) 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 2630293585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402029826864).

2630293585920 is an abundant number, since it is smaller than the sum of its proper divisors (10173766067808).

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

2630293585920 is an frugal number, since it uses more digits than its factorization.

2630293585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 2630293585920 in words is "two trillion, six hundred thirty billion, two hundred ninety-three million, five hundred eighty-five thousand, nine hundred twenty".