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65380923336960 = 283257111723761113
BaseRepresentation
bin11101101110110101011101…
…01101011110100100000000
322120111100120221222010022200
432313122232231132210000
532032200112333240320
6351015325340033200
716525421141561310
oct1667325655364400
9276440527863280
1065380923336960
1119917991823740
1273bb316b32800
132a63518c80a9a
14122064c86d440
15785a9403d290
hex3b76aeb5e900

65380923336960 has 5184 divisors, whose sum is σ = 315504275433984. Its totient is φ = 12128668876800.

The previous prime is 65380923336901. The next prime is 65380923336979. The reversal of 65380923336960 is 6963332908356.

65380923336960 is a `hidden beast` number, since 6 + 5 + 38 + 0 + 9 + 233 + 369 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 578592241864 + ... + 578592241976.

Almost surely, 265380923336960 is an apocalyptic number.

65380923336960 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 65380923336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157752137716992).

65380923336960 is an abundant number, since it is smaller than the sum of its proper divisors (250123352097024).

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

65380923336960 is a wasteful number, since it uses less digits than its factorization.

65380923336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 63.

The spelling of 65380923336960 in words is "sixty-five trillion, three hundred eighty billion, nine hundred twenty-three million, three hundred thirty-six thousand, nine hundred sixty".