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13015048273920 = 21435572111213
BaseRepresentation
bin1011110101100100110101…
…0101000100000000000000
31201002020010002111001100000
42331121031111010000000
53201214304324231140
643403010341200000
72512210012666200
oct275311525040000
951066102431300
1013015048273920
1141687184a3710
1215624a1400000
13735410507004
1432dd08814400
15178840834a30
hexbd64d544000

13015048273920 has 2160 divisors, whose sum is σ = 59424303976128. Its totient is φ = 2702196080640.

The previous prime is 13015048273891. The next prime is 13015048273987. The reversal of 13015048273920 is 2937284051031.

It is a happy number.

13015048273920 is a `hidden beast` number, since 1 + 3 + 0 + 15 + 0 + 482 + 73 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

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, 10729635234 + ... + 10729636446.

Almost surely, 213015048273920 is an apocalyptic number.

13015048273920 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 13015048273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29712151988064).

13015048273920 is an abundant number, since it is smaller than the sum of its proper divisors (46409255702208).

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

13015048273920 is an equidigital number, since it uses as much as digits as its factorization.

13015048273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13015048273920 in words is "thirteen trillion, fifteen billion, forty-eight million, two hundred seventy-three thousand, nine hundred twenty".