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85234957069284 = 22321121398832
BaseRepresentation
bin10011011000010101001111…
…010101101010101111100100
3102011210101022201010221121100
4103120111033111222233210
542132442143002204114
6501140222042320100
723645010460040421
oct2330251725525744
9364711281127540
1085234957069284
1125181a40216400
1296871327b9030
1338738115b7819
141709572d50d48
159cc2544ce909
hex4d854f56abe4

85234957069284 has 81 divisors (see below), whose sum is σ = 236824164414019. Its totient is φ = 25828590223920.

The previous prime is 85234957069247. The next prime is 85234957069289. The reversal of 85234957069284 is 48296075943258.

The square root of 85234957069284 is 9232278.

It is a perfect power (a square), and thus also a powerful number.

85234957069284 is a `hidden beast` number, since 8 + 5 + 2 + 3 + 49 + 570 + 6 + 9 + 2 + 8 + 4 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85234957069289) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 609260407 + ... + 609400289.

Almost surely, 285234957069284 is an apocalyptic number.

85234957069284 is the 9232278-th square number.

It is an amenable number.

85234957069284 is an abundant number, since it is smaller than the sum of its proper divisors (151589207344735).

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

85234957069284 is an equidigital number, since it uses as much as digits as its factorization.

85234957069284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279798 (or 139899 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 85234957069284 in words is "eighty-five trillion, two hundred thirty-four billion, nine hundred fifty-seven million, sixty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 139883 279766 419649 559532 839298 1258947 1538713 1678596 2517894 3077426 4616139 5035788 6154852 9232278 13848417 16925843 18464556 27696834 33851686 50777529 55393668 67703372 101555058 152332587 203110116 304665174 609330348 19567253689 39134507378 58701761067 78269014756 117403522134 176105283201 215239790579 234807044268 352210566402 430479581158 645719371737 704421132804 860959162316 1291438743474 1937158115211 2367637696369 2582877486948 3874316230422 4735275392738 7102913089107 7748632460844 9470550785476 14205826178214 21308739267321 28411652356428 42617478534642 85234957069284