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2007064359552 = 273710128126309
BaseRepresentation
bin11101001101001110010…
…110111011001010000000
321002212120202200111110110
4131031032112323022000
5230340431434001202
64134011014431320
7265001632366350
oct35151626731200
97085522614413
102007064359552
1170421156376a
12284b95962540
1311735acb2695
146d1dcba0b60
153731d2ab26c
hex1d34e5bb280

2007064359552 has 256 divisors, whose sum is σ = 6175331654400. Its totient is φ = 565727232000.

The previous prime is 2007064359541. The next prime is 2007064359581. The reversal of 2007064359552 is 2559534607002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76274974 + ... + 76301282.

It is an arithmetic number, because the mean of its divisors is an integer number (24122389275).

Almost surely, 22007064359552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007064359552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087665827200).

2007064359552 is an abundant number, since it is smaller than the sum of its proper divisors (4168267294848).

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

2007064359552 is a wasteful number, since it uses less digits than its factorization.

2007064359552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26715 (or 26703 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 2007064359552 in words is "two trillion, seven billion, sixty-four million, three hundred fifty-nine thousand, five hundred fifty-two".