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82355168982852 = 22325365366099673
BaseRepresentation
bin10010101110011011001110…
…100101111011011101000100
3101210121002002022210121102100
4102232123032211323131010
541243301341224422402
6451053235313312100
723226651601142463
oct2256331645733504
9353532068717370
1082355168982852
11242716a3994627
1292a0b97565630
1336c509cb3ab2c
14164a0235a49da
1597c3a865071c
hex4ae6ce97b744

82355168982852 has 72 divisors (see below), whose sum is σ = 212428223915544. Its totient is φ = 26892519353856.

The previous prime is 82355168982809. The next prime is 82355168982871. The reversal of 82355168982852 is 25828986155328.

82355168982852 is a `hidden beast` number, since 8 + 2 + 3 + 5 + 516 + 89 + 8 + 28 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30710594057796 + 51644574925056 = 5541714^2 + 7186416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31803913 + ... + 34295760.

It is an arithmetic number, because the mean of its divisors is an integer number (2950391998827).

Almost surely, 282355168982852 is an apocalyptic number.

It is an amenable number.

82355168982852 is an abundant number, since it is smaller than the sum of its proper divisors (130073054932692).

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

82355168982852 is a wasteful number, since it uses less digits than its factorization.

82355168982852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66100389 (or 66100384 counting only the distinct ones).

The product of its digits is 663552000, while the sum is 72.

The spelling of 82355168982852 in words is "eighty-two trillion, three hundred fifty-five billion, one hundred sixty-eight million, nine hundred eighty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 653 954 1306 1908 1959 2612 3918 5877 7836 11754 23508 34609 69218 103827 138436 207654 311481 415308 622962 1245924 66099673 132199346 198299019 264398692 396598038 594897057 793196076 1189794114 2379588228 3503282669 7006565338 10509848007 14013130676 21019696014 31529544021 42039392028 43163086469 63059088042 86326172938 126118176084 129489259407 172652345876 258978518814 388467778221 517957037628 776935556442 1553871112884 2287643582857 4575287165714 6862930748571 9150574331428 13725861497142 20588792245713 27451722994284 41177584491426 82355168982852