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85987229429304 = 23327251679719451
BaseRepresentation
bin10011100011010001110110…
…010000111110111000111000
3102021110022001212022100220100
4103203101312100332320320
542232303321213214204
6502513553213555400
724053241463432140
oct2343216620767070
9367408055270810
1085987229429304
1125441a8536a835
129788a991a5b60
1338c973a50c8b8
141733b3869b920
159e1ad268da39
hex4e347643ee38

85987229429304 has 96 divisors (see below), whose sum is σ = 267211310970240. Its totient is φ = 24469900200000.

The previous prime is 85987229429291. The next prime is 85987229429351. The reversal of 85987229429304 is 40392492278958.

85987229429304 is a `hidden beast` number, since 8 + 5 + 9 + 8 + 7 + 2 + 294 + 29 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 339733222 + ... + 339986229.

It is an arithmetic number, because the mean of its divisors is an integer number (2783451155940).

Almost surely, 285987229429304 is an apocalyptic number.

85987229429304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85987229429304 is an abundant number, since it is smaller than the sum of its proper divisors (181224081540936).

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

85987229429304 is a wasteful number, since it uses less digits than its factorization.

85987229429304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679719721 (or 679719714 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 85987229429304 in words is "eighty-five trillion, nine hundred eighty-seven billion, two hundred twenty-nine million, four hundred twenty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 251 252 502 504 753 1004 1506 1757 2008 2259 3012 3514 4518 5271 6024 7028 9036 10542 14056 15813 18072 21084 31626 42168 63252 126504 679719451 1359438902 2039158353 2718877804 4078316706 4758036157 5437755608 6117475059 8156633412 9516072314 12234950118 14274108471 16313266824 19032144628 24469900236 28548216942 38064289256 42822325413 48939800472 57096433884 85644650826 114192867768 170609582201 171289301652 341219164402 342578603304 511828746603 682438328804 1023657493206 1194267075407 1364876657608 1535486239809 2047314986412 2388534150814 3070972479618 3582801226221 4094629972824 4777068301628 6141944959236 7165602452442 9554136603256 10748403678663 12283889918472 14331204904884 21496807357326 28662409809768 42993614714652 85987229429304