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85710040637472 = 2533446232223101
BaseRepresentation
bin10011011111001111101100…
…100001101010000000100000
3102020110210121002200210001000
4103133033230201222000200
542213233130400344342
6502142352112112000
724024226464532536
oct2337175441520040
9366423532623030
1085710040637472
1125345473535899
12974321b235600
1338a956460b604
141724560d42156
159d97ac94b44c
hex4df3ec86a020

85710040637472 has 96 divisors (see below), whose sum is σ = 249993333192960. Its totient is φ = 28569360441600.

The previous prime is 85710040637447. The next prime is 85710040637483. The reversal of 85710040637472 is 27473604001758.

85710040637472 is a `hidden beast` number, since 8 + 5 + 7 + 100 + 4 + 0 + 63 + 7 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×857100406374722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37442722 + ... + 39665822.

It is an arithmetic number, because the mean of its divisors is an integer number (2604097220760).

Almost surely, 285710040637472 is an apocalyptic number.

It is an amenable number.

85710040637472 is an abundant number, since it is smaller than the sum of its proper divisors (164283292555488).

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

85710040637472 is a wasteful number, since it uses less digits than its factorization.

85710040637472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267743 (or 2267729 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 85710040637472 in words is "eighty-five trillion, seven hundred ten billion, forty million, six hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 44623 89246 133869 178492 267738 356984 401607 535476 713968 803214 1070952 1204821 1427936 1606428 2141904 2223101 2409642 3212856 4283808 4446202 4819284 6425712 6669303 8892404 9638568 12851424 13338606 17784808 19277136 20007909 26677212 35569616 38554272 40015818 53354424 60023727 71139232 80031636 106708848 120047454 160063272 213417696 240094908 320126544 480189816 640253088 960379632 1920759264 99201435923 198402871846 297604307769 396805743692 595208615538 793611487384 892812923307 1190417231076 1587222974768 1785625846614 2380834462152 2678438769921 3174445949536 3571251693228 4761668924304 5356877539842 7142503386456 9523337848608 10713755079684 14285006772912 21427510159368 28570013545824 42855020318736 85710040637472