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15004666980000 = 253254372252953
BaseRepresentation
bin1101101001011000101111…
…0110000110011010100000
31222010102200001002112020200
43122112023312012122200
53431314024221330000
651525014315105200
73106023430650225
oct332261366063240
958112601075220
1015004666980000
114865497380745
121824008742200
1384ac1b08bac9
1439c33064994c
151b048c238500
hexda58bd866a0

15004666980000 has 360 divisors, whose sum is σ = 54760935257028. Its totient is φ = 3893101056000.

The previous prime is 15004666979989. The next prime is 15004666980067. The reversal of 15004666980000 is 8966640051.

It can be written as a sum of positive squares in 10 ways, for example, as 620761197456 + 14383905782544 = 787884^2 + 3792612^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 5533524 + ... + 7786476.

Almost surely, 215004666980000 is an apocalyptic number.

15004666980000 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 15004666980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27380467628514).

15004666980000 is an abundant number, since it is smaller than the sum of its proper divisors (39756268277028).

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

15004666980000 is a wasteful number, since it uses less digits than its factorization.

15004666980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253026 (or 2253000 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 15004666980000 in words is "fifteen trillion, four billion, six hundred sixty-six million, nine hundred eighty thousand".