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191211491328 = 212311131737173
BaseRepresentation
bin1011001000010100010…
…1111101000000000000
3200021112212011012001020
42302011011331000000
511113100120210303
6223501421505440
716546253600514
oct2620505750000
9607485135036
10191211491328
11741019a15a0
1231084412280
131505361a7a0
14937cc00144
154e91b21a53
hex2c8517d000

191211491328 has 832 divisors, whose sum is σ = 655105957632. Its totient is φ = 48695869440.

The previous prime is 191211491321. The next prime is 191211491353. The reversal of 191211491328 is 823194112191.

It is a tau number, because it is divible by the number of its divisors (832).

It is a self number, because there is not a number n which added to its sum of digits gives 191211491328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191211491321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1105268650 + ... + 1105268822.

Almost surely, 2191211491328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191211491328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327552978816).

191211491328 is an abundant number, since it is smaller than the sum of its proper divisors (463894466304).

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

191211491328 is a wasteful number, since it uses less digits than its factorization.

191211491328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its digits is 31104, while the sum is 42.

The spelling of 191211491328 in words is "one hundred ninety-one billion, two hundred eleven million, four hundred ninety-one thousand, three hundred twenty-eight".