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85072373841 = 3713678952259
BaseRepresentation
bin100111100111010110…
…1010110100001010001
322010120211200100210210
41033032231112201101
52343212011430331
6103025352114333
76101113150350
oct1171655264121
9263524610723
1085072373841
1133096156684
12145a26959a9
138039c83860
1441906b9997
15232d96e446
hex13ceb56851

85072373841 has 64 divisors (see below), whose sum is σ = 143284377600. Its totient is φ = 43706082816.

The previous prime is 85072373833. The next prime is 85072373917. The reversal of 85072373841 is 14837327058.

It is not a de Polignac number, because 85072373841 - 23 = 85072373833 is a prime.

It is a super-2 number, since 2×850723738412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85072373801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1601770 + ... + 1654028.

It is an arithmetic number, because the mean of its divisors is an integer number (2238818400).

Almost surely, 285072373841 is an apocalyptic number.

It is an amenable number.

85072373841 is a deficient number, since it is larger than the sum of its proper divisors (58212003759).

85072373841 is a wasteful number, since it uses less digits than its factorization.

85072373841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52438.

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 85072373841 in words is "eighty-five billion, seventy-two million, three hundred seventy-three thousand, eight hundred forty-one".

Divisors: 1 3 7 13 21 39 67 89 91 201 267 273 469 623 871 1157 1407 1869 2613 3471 5963 6097 8099 17889 18291 24297 41741 52259 77519 125223 156777 232557 365813 542633 679367 1097439 1627899 2038101 3501353 4651051 4755569 10504059 13953153 14266707 24509471 32557357 45517589 60463663 73528413 97672071 136552767 181390989 311620417 318623123 423245641 934861251 955869369 1269736923 2181342919 4051065421 6544028757 12153196263 28357457947 85072373841