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830530117632 = 2133378091129
BaseRepresentation
bin11000001010111110111…
…00111110000000000000
32221101202001221102001010
430011133130332000000
5102101411202231012
61433312410440520
7114001211343225
oct14053734760000
92841661842033
10830530117632
112a0253665a76
12114b66a33140
136041b110237
142c2aad6594c
151690d732c3c
hexc15f73e000

830530117632 has 224 divisors, whose sum is σ = 2279294704800. Its totient is φ = 268789874688.

The previous prime is 830530117609. The next prime is 830530117633. The reversal of 830530117632 is 236711035038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830530117633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735632844 + ... + 735633972.

Almost surely, 2830530117632 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 830530117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139647352400).

830530117632 is an abundant number, since it is smaller than the sum of its proper divisors (1448764587168).

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

830530117632 is a wasteful number, since it uses less digits than its factorization.

830530117632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 830530117632 in words is "eight hundred thirty billion, five hundred thirty million, one hundred seventeen thousand, six hundred thirty-two".