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855077190426 = 2321935910396703
BaseRepresentation
bin11000111000101101001…
…00100111101100011010
310000202002210120220112100
430130112210213230122
5103002144230043201
61452452251424230
7115530416124144
oct14342644475432
93022083526470
10855077190426
112aa6aa867098
12119877755076
1362830863594
142d5590cbc94
1517398789886
hexc716927b1a

855077190426 has 96 divisors (see below), whose sum is σ = 1957782528000. Its totient is φ = 268972920864.

The previous prime is 855077190421. The next prime is 855077190467. The reversal of 855077190426 is 624091770558.

855077190426 is a `hidden beast` number, since 8 + 5 + 507 + 7 + 1 + 90 + 42 + 6 = 666.

855077190426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8550771904262 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (855077190421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127562991 + ... + 127569693.

It is an arithmetic number, because the mean of its divisors is an integer number (20393568000).

Almost surely, 2855077190426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855077190426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978891264000).

855077190426 is an abundant number, since it is smaller than the sum of its proper divisors (1102705337574).

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

855077190426 is a wasteful number, since it uses less digits than its factorization.

855077190426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 855077190426 in words is "eight hundred fifty-five billion, seventy-seven million, one hundred ninety thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 359 718 1039 1077 2078 2154 3117 3231 6234 6462 6703 6821 9351 13406 13642 18702 19741 20109 20463 39482 40218 40926 59223 60327 61389 118446 120654 122778 127357 177669 254714 355338 373001 382071 746002 764142 1119003 1146213 2238006 2292426 2406377 3357009 4812754 6714018 6964417 7087019 7219131 13928834 14174038 14438262 20893251 21261057 21657393 41786502 42522114 43314786 45721163 62679753 63783171 91442326 125359506 127566342 132323923 137163489 264647846 274326978 396971769 411490467 793943538 822980934 1190915307 2381830614 2500225703 5000451406 7500677109 15001354218 22502031327 45004062654 47504288357 95008576714 142512865071 285025730142 427538595213 855077190426