Search a number
-
+
21310960777920 = 263251129155914879
BaseRepresentation
bin1001101100001110110000…
…01111110011101011000000
32210110022022111110011112200
410312013120033303223000
510243124321424343140
6113154041545153200
74326444321541122
oct466073017635300
983408274404480
1021310960777920
116876a22868980
12248225978b800
13bb77cc152088
145396553c7212
1526e53119e030
hex1361d83f3ac0

21310960777920 has 672 divisors, whose sum is σ = 82780558848000. Its totient is φ = 4984610856960.

The previous prime is 21310960777901. The next prime is 21310960777979. The reversal of 21310960777920 is 2977706901312.

21310960777920 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 9 + 607 + 7 + 7 + 9 + 20 = 666.

It is a super-2 number, since 2×213109607779202 (a number of 27 digits) contains 22 as substring.

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, 1432277041 + ... + 1432291919.

Almost surely, 221310960777920 is an apocalyptic number.

21310960777920 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 21310960777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41390279424000).

21310960777920 is an abundant number, since it is smaller than the sum of its proper divisors (61469598070080).

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

21310960777920 is a wasteful number, since it uses less digits than its factorization.

21310960777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16501 (or 16488 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 21310960777920 in words is "twenty-one trillion, three hundred ten billion, nine hundred sixty million, seven hundred seventy-seven thousand, nine hundred twenty".