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82345430576234 = 27101787120161613
BaseRepresentation
bin10010101110010010001010…
…001000110110110001101010
3101210120010221122021021221202
4102232102022020312301222
541243121420211414414
6451044545113404202
723226155351066450
oct2256221210666152
9353503848237852
1082345430576234
11242685569015a1
12929b11a109662
1336c41aa3c1c57
14164977c0989d0
1597bed87169de
hex4ae48a236c6a

82345430576234 has 64 divisors (see below), whose sum is σ = 142863571452672. Its totient is φ = 34867463040000.

The previous prime is 82345430576197. The next prime is 82345430576263. The reversal of 82345430576234 is 43267503454328.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82345430576234.

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, 1336463612 + ... + 1336525224.

It is an arithmetic number, because the mean of its divisors is an integer number (2232243303948).

Almost surely, 282345430576234 is an apocalyptic number.

82345430576234 is a deficient number, since it is larger than the sum of its proper divisors (60518140876438).

82345430576234 is a wasteful number, since it uses less digits than its factorization.

82345430576234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63711.

The product of its (nonzero) digits is 58060800, while the sum is 56.

The spelling of 82345430576234 in words is "eighty-two trillion, three hundred forty-five billion, four hundred thirty million, five hundred seventy-six thousand, two hundred thirty-four".

Divisors: 1 2 7 14 101 202 707 787 1201 1414 1574 2402 5509 8407 11018 16814 61613 79487 121301 123226 158974 242602 431291 556409 849107 862582 945187 1112818 1698214 1890374 6222913 6616309 12445826 13232618 43560391 48489431 73997213 87120782 95463887 96978862 147994426 190927774 339426017 517980491 668247209 678852034 1035960982 1336494418 4897432531 7473718513 9794865062 14947437026 34282027717 52316029591 58235806631 68564055434 104632059182 116471613262 407650646417 815301292834 5881816469731 11763632939462 41172715288117 82345430576234