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85541797908 = 223273716935419
BaseRepresentation
bin100111110101010110…
…0000100000000010100
322011210112222120120100
41033222230010000110
52400142200013113
6103144121334100
76115543166550
oct1175254040024
9264715876510
1085541797908
1133307129956
12146b3937330
1380b32c1788
1441d6b92860
152359c97d73
hex13eab04014

85541797908 has 144 divisors (see below), whose sum is σ = 253996462720. Its totient is φ = 23761527552.

The previous prime is 85541797907. The next prime is 85541797963. The reversal of 85541797908 is 80979714558.

85541797908 is a `hidden beast` number, since 8 + 554 + 1 + 7 + 9 + 79 + 0 + 8 = 666.

It is a super-2 number, since 2×855417979082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85541797903) 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, 15782823 + ... + 15788241.

Almost surely, 285541797908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85541797908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126998231360).

85541797908 is an abundant number, since it is smaller than the sum of its proper divisors (168454664812).

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

85541797908 is a wasteful number, since it uses less digits than its factorization.

85541797908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 85541797908 in words is "eighty-five billion, five hundred forty-one million, seven hundred ninety-seven thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 1693 2331 3108 3386 4662 5079 5419 6772 9324 10158 10838 11851 15237 16257 20316 21676 23702 30474 32514 35553 37933 47404 48771 60948 62641 65028 71106 75866 97542 106659 113799 125282 142212 151732 187923 195084 200503 213318 227598 250564 341397 375846 401006 426636 438487 455196 563769 601509 682794 751692 802012 876974 1127538 1203018 1315461 1365588 1403521 1753948 1804527 2255076 2406036 2630922 2807042 3609054 3946383 4210563 5261844 5614084 7218108 7892766 8421126 9174367 12631689 15785532 16842252 18348734 25263378 27523101 36697468 50526756 55046202 64220569 82569303 110092404 128441138 165138606 192661707 256882276 330277212 339451579 385323414 577985121 678903158 770646828 1018354737 1155970242 1357806316 2036709474 2311940484 2376161053 3055064211 4073418948 4752322106 6110128422 7128483159 9504644212 12220256844 14256966318 21385449477 28513932636 42770898954 85541797908