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64023114528 = 2533402718401
BaseRepresentation
bin111011101000000100…
…110011001100100000
320010020212210012101000
4323220010303030200
52022104404131103
645224541312000
74424360331402
oct735004631440
9203225705330
1064023114528
11251744195aa
12104a9265600
1360640b2829
143154d02b72
1519eaa41aa3
hexee8133320

64023114528 has 96 divisors (see below), whose sum is σ = 186790605120. Its totient is φ = 21334579200.

The previous prime is 64023114521. The next prime is 64023114577. The reversal of 64023114528 is 82541132046.

It is a happy number.

64023114528 is a `hidden beast` number, since 640 + 2 + 3 + 1 + 1 + 4 + 5 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×640231145283 (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64023114492 and 64023114501.

It is not an unprimeable number, because it can be changed into a prime (64023114521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3470128 + ... + 3488528.

It is an arithmetic number, because the mean of its divisors is an integer number (1945735470).

Almost surely, 264023114528 is an apocalyptic number.

It is an amenable number.

64023114528 is an abundant number, since it is smaller than the sum of its proper divisors (122767490592).

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

64023114528 is a wasteful number, since it uses less digits than its factorization.

64023114528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22447 (or 22433 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 64023114528 in words is "sixty-four billion, twenty-three million, one hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4027 8054 12081 16108 18401 24162 32216 36243 36802 48324 55203 64432 72486 73604 96648 108729 110406 128864 144972 147208 165609 193296 217458 220812 289944 294416 331218 386592 434916 441624 496827 579888 588832 662436 869832 883248 993654 1159776 1324872 1739664 1766496 1987308 2649744 3479328 3974616 5299488 7949232 15898464 74100827 148201654 222302481 296403308 444604962 592806616 666907443 889209924 1185613232 1333814886 1778419848 2000722329 2371226464 2667629772 3556839696 4001444658 5335259544 7113679392 8002889316 10670519088 16005778632 21341038176 32011557264 64023114528