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66000006648 = 23321151796409
BaseRepresentation
bin111101011101111010…
…000010110111111000
320022100122122201112200
4331131322002313320
52040132000203043
650153041110200
74524353541312
oct753572026770
9208318581480
1066000006648
1125a99312944
121095b328360
1362ba828c94
1432a16a47b2
151ab438c7d3
hexf5de82df8

66000006648 has 48 divisors (see below), whose sum is σ = 178905542400. Its totient is φ = 21980860800.

The previous prime is 66000006647. The next prime is 66000006727. The reversal of 66000006648 is 84660000066.

66000006648 is a `hidden beast` number, since 6 + 6 + 0 + 0 + 0 + 0 + 0 + 6 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66000006647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315333 + ... + 481076.

It is an arithmetic number, because the mean of its divisors is an integer number (3727198800).

Almost surely, 266000006648 is an apocalyptic number.

It is an amenable number.

66000006648 is an abundant number, since it is smaller than the sum of its proper divisors (112905535752).

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

66000006648 is a wasteful number, since it uses less digits than its factorization.

66000006648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797572 (or 797565 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 66000006648 in words is "sixty-six billion, six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1151 2302 3453 4604 6906 9208 10359 13812 20718 27624 41436 82872 796409 1592818 2389227 3185636 4778454 6371272 7167681 9556908 14335362 19113816 28670724 57341448 916666759 1833333518 2750000277 3666667036 5500000554 7333334072 8250000831 11000001108 16500001662 22000002216 33000003324 66000006648