Search a number
-
+
656225151366114 = 23511593132766413
BaseRepresentation
bin1001010100110101010101001…
…1000010100011001111100010
310012001111111211002121110100000
42111031111103002203033202
51142003043102222203424
610243401401152040430
7255136462666360461
oct22515252302431742
93161444732543300
10656225151366114
11180103584212270
12617249b7533116
13222219c65a19c5
14b809676c529d8
1550cedc735b3c9
hex254d5530a33e2

656225151366114 has 192 divisors, whose sum is σ = 1635864932782080. Its totient is φ = 195476480435520.

The previous prime is 656225151365969. The next prime is 656225151366167. The reversal of 656225151366114 is 411663151522656.

656225151366114 is a `hidden beast` number, since 6 + 5 + 6 + 2 + 2 + 5 + 1 + 5 + 13 + 6 + 611 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9880941172 + ... + 9881007584.

It is an arithmetic number, because the mean of its divisors is an integer number (8520129858240).

Almost surely, 2656225151366114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656225151366114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817932466391040).

656225151366114 is an abundant number, since it is smaller than the sum of its proper divisors (979639781415966).

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

656225151366114 is a wasteful number, since it uses less digits than its factorization.

656225151366114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97827 (or 97815 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 656225151366114 in words is "six hundred fifty-six trillion, two hundred twenty-five billion, one hundred fifty-one million, three hundred sixty-six thousand, one hundred fourteen".