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123407386704 = 24357219103331
BaseRepresentation
bin111001011101110100…
…1110100100001010000
3102210112110202210100000
41302323221310201100
54010214242333304
6132405332330000
711626102323300
oct1627351644120
9383473683300
10123407386704
1148378286198
121bb00a73900
13b8390c8414
145d89ab7600
1533241bb939
hex1cbba74850

123407386704 has 720 divisors, whose sum is σ = 444159905280. Its totient is φ = 32979260160.

The previous prime is 123407386681. The next prime is 123407386709. The reversal of 123407386704 is 407683704321.

It is a super-2 number, since 2×1234073867042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123407386704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123407386709) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 372831819 + ... + 372832149.

Almost surely, 2123407386704 is an apocalyptic number.

123407386704 is a gapful number since it is divisible by the number (14) 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 123407386704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222079952640).

123407386704 is an abundant number, since it is smaller than the sum of its proper divisors (320752518576).

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

123407386704 is a wasteful number, since it uses less digits than its factorization.

123407386704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 123407386704 in words is "one hundred twenty-three billion, four hundred seven million, three hundred eighty-six thousand, seven hundred four".