Search a number
-
+
2163995658720 = 253357411819643
BaseRepresentation
bin11111011111011000001…
…100010100100111100000
321122212122120121111022000
4133133120030110213200
5240423330342034340
64334043105044000
7312225554414040
oct37373014244740
97585576544260
102163995658720
11764822152535
122ab491926600
131290aa56269c
1476a48d07720
153b455633d30
hex1f7d83149e0

2163995658720 has 768 divisors, whose sum is σ = 8917018306560. Its totient is φ = 479847628800.

The previous prime is 2163995658697. The next prime is 2163995658749. The reversal of 2163995658720 is 278565993612.

2163995658720 is a `hidden beast` number, since 2 + 1 + 63 + 9 + 9 + 565 + 8 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 224406219 + ... + 224415861.

It is an arithmetic number, because the mean of its divisors is an integer number (11610700920).

Almost surely, 22163995658720 is an apocalyptic number.

2163995658720 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 2163995658720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458509153280).

2163995658720 is an abundant number, since it is smaller than the sum of its proper divisors (6753022647840).

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

2163995658720 is a wasteful number, since it uses less digits than its factorization.

2163995658720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9896 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 2163995658720 in words is "two trillion, one hundred sixty-three billion, nine hundred ninety-five million, six hundred fifty-eight thousand, seven hundred twenty".