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13872923460 = 2235511231761
BaseRepresentation
bin11001110101110010…
…00000001101000100
31022210211100112100000
430322321000031010
5211402432022320
610212332521300
71000532621664
oct147271001504
938724315300
1013872923460
1159799a3800
122832020230
1314011a7c66
149586781a4
15562dd0c90
hex33ae40344

13872923460 has 432 divisors, whose sum is σ = 49580084736. Its totient is φ = 3250368000.

The previous prime is 13872923447. The next prime is 13872923483. The reversal of 13872923460 is 6432927831.

13872923460 is a `hidden beast` number, since 1 + 38 + 72 + 92 + 3 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18229480 + ... + 18230240.

Almost surely, 213872923460 is an apocalyptic number.

13872923460 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 13872923460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24790042368).

13872923460 is an abundant number, since it is smaller than the sum of its proper divisors (35707161276).

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

13872923460 is a wasteful number, since it uses less digits than its factorization.

13872923460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13872923460 in words is "thirteen billion, eight hundred seventy-two million, nine hundred twenty-three thousand, four hundred sixty".