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156154272768 = 210361316091
BaseRepresentation
bin1001000101101110000…
…1010001110000000000
3112221001122210222000000
42101123201101300000
510024300443212033
6155423012000000
714165435263314
oct2213341216000
9487048728000
10156154272768
116025201a39a
122631b900000
13119575b1b90
1477b4c7bb44
1540de03ca13
hex245b851c00

156154272768 has 308 divisors, whose sum is σ = 504052837848. Its totient is φ = 48044482560.

The previous prime is 156154272739. The next prime is 156154272851. The reversal of 156154272768 is 867272451651.

It is a happy number.

156154272768 is a `hidden beast` number, since 1 + 561 + 5 + 4 + 2 + 7 + 2 + 76 + 8 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9696403 + ... + 9712493.

Almost surely, 2156154272768 is an apocalyptic number.

156154272768 is a gapful number since it is divisible by the number (18) 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 156154272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252026418924).

156154272768 is an abundant number, since it is smaller than the sum of its proper divisors (347898565080).

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

156154272768 is an equidigital number, since it uses as much as digits as its factorization.

156154272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16142 (or 16109 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 156154272768 in words is "one hundred fifty-six billion, one hundred fifty-four million, two hundred seventy-two thousand, seven hundred sixty-eight".