Search a number
-
+
6885652561920 = 22134511267
BaseRepresentation
bin110010000110011000011…
…1000000000000000000000
3220101021001222002021010000
41210030300320000000000
51400303304023440140
622351120343040000
71310320614036156
oct144146070000000
926337058067100
106885652561920
1122152093a9700
1293259b140000
133ac41153cc72
1419b3a58db3d6
15be1a1b01a30
hex64330e00000

6885652561920 has 1320 divisors, whose sum is σ = 27539558617032. Its totient is φ = 1644334940160.

The previous prime is 6885652561897. The next prime is 6885652561937. The reversal of 6885652561920 is 291652565886.

6885652561920 is a `hidden beast` number, since 6 + 8 + 8 + 5 + 6 + 5 + 2 + 5 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×68856525619202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 102770933727 + ... + 102770933793.

Almost surely, 26885652561920 is an apocalyptic number.

6885652561920 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 6885652561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13769779308516).

6885652561920 is an abundant number, since it is smaller than the sum of its proper divisors (20653906055112).

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

6885652561920 is an frugal number, since it uses more digits than its factorization.

6885652561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 6885652561920 in words is "six trillion, eight hundred eighty-five billion, six hundred fifty-two million, five hundred sixty-one thousand, nine hundred twenty".