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45983582607830 = 2571740196363257
BaseRepresentation
bin10100111010010011000110…
…00110110101100111010110
320000210222122221020121222212
422131021203012311213112
522011343334121422310
6241444322145353422
712454130021034620
oct1235114306654726
9200728587217885
1045983582607830
111371958965781a
1251a7b14938872
131c8730555060a
14b4d88db25c10
1554b212712205
hex29d2631b59d6

45983582607830 has 64 divisors (see below), whose sum is σ = 100408973023872. Its totient is φ = 14801396121600.

The previous prime is 45983582607827. The next prime is 45983582607863. The reversal of 45983582607830 is 3870628538954.

It is a happy number.

It is a super-2 number, since 2×459835826078302 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47704439 + ... + 48658818.

It is an arithmetic number, because the mean of its divisors is an integer number (1568890203498).

Almost surely, 245983582607830 is an apocalyptic number.

45983582607830 is an abundant number, since it is smaller than the sum of its proper divisors (54425390416042).

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

45983582607830 is a wasteful number, since it uses less digits than its factorization.

45983582607830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96363689.

The product of its (nonzero) digits is 348364800, while the sum is 68.

The spelling of 45983582607830 in words is "forty-five trillion, nine hundred eighty-three billion, five hundred eighty-two million, six hundred seven thousand, eight hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 401 595 802 1190 2005 2807 4010 5614 6817 13634 14035 28070 34085 47719 68170 95438 238595 477190 96363257 192726514 481816285 674542799 963632570 1349085598 1638175369 3276350738 3372713995 6745427990 8190876845 11467227583 16381753690 22934455166 38641666057 57336137915 77283332114 114672275830 193208330285 270491662399 386416660570 540983324798 656908322969 1313816645938 1352458311995 2704916623990 3284541614845 4598358260783 6569083229690 9196716521566 22991791303915 45983582607830