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66962533320 = 233253141146347
BaseRepresentation
bin111110010111010001…
…110010101111001000
320101211201211010220200
4332113101302233020
52044114402031240
650432343252200
74560252066444
oct762721625710
9211751733820
1066962533320
1126442671431
1210b8974a060
1364120756a7
143353459824
151b1db1a930
hexf97472bc8

66962533320 has 192 divisors, whose sum is σ = 230129303040. Its totient is φ = 16859059200.

The previous prime is 66962533303. The next prime is 66962533357. The reversal of 66962533320 is 2333526966.

66962533320 is a `hidden beast` number, since 6 + 6 + 96 + 2 + 533 + 3 + 20 = 666.

It is a super-2 number, since 2×669625333202 (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 384387 + ... + 530733.

It is an arithmetic number, because the mean of its divisors is an integer number (1198590120).

Almost surely, 266962533320 is an apocalyptic number.

66962533320 is a gapful number since it is divisible by the number (60) 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 66962533320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115064651520).

66962533320 is an abundant number, since it is smaller than the sum of its proper divisors (163166769720).

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

66962533320 is a wasteful number, since it uses less digits than its factorization.

66962533320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146436 (or 146429 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 66962533320 in words is "sixty-six billion, nine hundred sixty-two million, five hundred thirty-three thousand, three hundred twenty".