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83084786230653 = 3417311531936813
BaseRepresentation
bin10010111001000010101111…
…001010110110010101111101
3101220011211100121101002020000
4102321002233022312111331
541342230120233340103
6452412342431144513
723333451312340314
oct2271025712662575
9356154317332200
1083084786230653
11245230728a1919
12939a47a975139
133748b2828a06c
14167347a15d27b
1599135c928aa3
hex4b90af2b657d

83084786230653 has 40 divisors (see below), whose sum is σ = 131419438309368. Its totient is φ = 52129930254336.

The previous prime is 83084786230639. The next prime is 83084786230711. The reversal of 83084786230653 is 35603268748038.

83084786230653 is a `hidden beast` number, since 8 + 308 + 47 + 8 + 6 + 230 + 6 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2433843366084 + 80650942864569 = 1560078^2 + 8980587^2 .

It is not a de Polignac number, because 83084786230653 - 221 = 83084784133501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83084786230603) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41929275 + ... + 43866087.

Almost surely, 283084786230653 is an apocalyptic number.

It is an amenable number.

83084786230653 is a deficient number, since it is larger than the sum of its proper divisors (48334652078715).

83084786230653 is a wasteful number, since it uses less digits than its factorization.

83084786230653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967995 (or 1967986 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 83084786230653 in words is "eighty-three trillion, eighty-four billion, seven hundred eighty-six million, two hundred thirty thousand, six hundred fifty-three".

Divisors: 1 3 9 17 27 51 81 153 459 1377 31153 93459 280377 529601 841131 1588803 1936813 2523393 4766409 5810439 14299227 17431317 32925821 42897681 52293951 98777463 156881853 296332389 888997167 2666991501 60337535389 181012606167 543037818501 1025738101613 1629113455503 3077214304839 4887340366509 9231642914517 27694928743551 83084786230653