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668356468780 = 225711213101151199
BaseRepresentation
bin10011011100111010010…
…01100110000000101100
32100220010220121110101011
421232131021212000230
541422243224000110
61231012210355004
766200332151320
oct11563511460054
92326126543334
10668356468780
112384a2891300
12a964728ba64
134b04473a180
14244c48b3980
15125bb03148a
hex9b9d26602c

668356468780 has 576 divisors, whose sum is σ = 1939959705600. Its totient is φ = 188179200000.

The previous prime is 668356468771. The next prime is 668356468789. The reversal of 668356468780 is 87864653866.

It is an interprime number because it is at equal distance from previous prime (668356468771) and next prime (668356468789).

It is a super-2 number, since 2×6683564687802 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (668356468789) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3358575121 + ... + 3358575319.

It is an arithmetic number, because the mean of its divisors is an integer number (3367985600).

Almost surely, 2668356468780 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 668356468780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969979852800).

668356468780 is an abundant number, since it is smaller than the sum of its proper divisors (1271603236820).

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

668356468780 is a wasteful number, since it uses less digits than its factorization.

668356468780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 67.

The spelling of 668356468780 in words is "six hundred sixty-eight billion, three hundred fifty-six million, four hundred sixty-eight thousand, seven hundred eighty".