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85874765712540 = 223571712027278111
BaseRepresentation
bin10011100001101001000110…
…111001111100110010011100
3102021001112210001222121111020
4103201221012321330302130
542223433010010300130
6502350153414124140
724042150514551030
oct2341510671746234
9367045701877436
1085874765712540
11253a9313548872
12976b131350650
1338bbc5677842c
14172c50a1d01c0
159ddbee135e10
hex4e1a46e7cc9c

85874765712540 has 96 divisors (see below), whose sum is σ = 290963912085504. Its totient is φ = 18473899176960.

The previous prime is 85874765712499. The next prime is 85874765712587. The reversal of 85874765712540 is 4521756747858.

85874765712540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×858747657125402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6013631916 + ... + 6013646195.

It is an arithmetic number, because the mean of its divisors is an integer number (3030874084224).

Almost surely, 285874765712540 is an apocalyptic number.

It is an amenable number.

85874765712540 is an abundant number, since it is smaller than the sum of its proper divisors (205089146372964).

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

85874765712540 is a wasteful number, since it uses less digits than its factorization.

85874765712540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12027278147 (or 12027278145 counting only the distinct ones).

The product of its (nonzero) digits is 526848000, while the sum is 69.

The spelling of 85874765712540 in words is "eighty-five trillion, eight hundred seventy-four billion, seven hundred sixty-five million, seven hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 12027278111 24054556222 36081834333 48109112444 60136390555 72163668666 84190946777 120272781110 144327337332 168381893554 180409171665 204463727887 240545562220 252572840331 336763787108 360818343330 408927455774 420954733885 505145680662 613391183661 721636686660 817854911548 841909467770 1010291361324 1022318639435 1226782367322 1262864201655 1431246095209 1683818935540 2044637278870 2453564734644 2525728403310 2862492190418 3066955918305 4089274557740 4293738285627 5051456806620 5724984380836 6133911836610 7156230476045 8587476571254 12267823673220 14312460952090 17174953142508 21468691428135 28624921904180 42937382856270 85874765712540