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15357430000 = 245411149937
BaseRepresentation
bin11100100110101111…
…11100100011110000
31110122021201021110201
432103113330203300
5222423000230000
611015523004544
71052400000253
oct162327744360
943567637421
1015357430000
116570961510
122b87209754
1315a99040b3
14a598a709a
155ed3b996a
hex3935fc8f0

15357430000 has 200 divisors, whose sum is σ = 40877852400. Its totient is φ = 5541120000.

The previous prime is 15357429949. The next prime is 15357430007. The reversal of 15357430000 is 3475351.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15357430007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16389532 + ... + 16390468.

It is an arithmetic number, because the mean of its divisors is an integer number (204389262).

Almost surely, 215357430000 is an apocalyptic number.

15357430000 is a gapful number since it is divisible by the number (10) 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 15357430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20438926200).

15357430000 is an abundant number, since it is smaller than the sum of its proper divisors (25520422400).

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

15357430000 is a wasteful number, since it uses less digits than its factorization.

15357430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The spelling of 15357430000 in words is "fifteen billion, three hundred fifty-seven million, four hundred thirty thousand".