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42858411696288 = 2533192610770693
BaseRepresentation
bin10011011111010110000000…
…11001111010000010100000
312121202020001101211012221000
421233223000121322002200
521104143011343240123
6231052514343032000
712012263252424336
oct1157530031720240
9177666041735830
1042858411696288
11127241720a4611
1249822b743b600
131abb6b94665a6
14a82502c55b56
154e4ca40a0b43
hex26fac067a0a0

42858411696288 has 96 divisors (see below), whose sum is σ = 131582842977600. Its totient is φ = 13534235267328.

The previous prime is 42858411696271. The next prime is 42858411696299. The reversal of 42858411696288 is 88269611485824.

42858411696288 is a `hidden beast` number, since 4 + 2 + 8 + 584 + 1 + 16 + 9 + 6 + 28 + 8 = 666.

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

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

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, 1305368931 + ... + 1305401762.

It is an arithmetic number, because the mean of its divisors is an integer number (1370654614350).

Almost surely, 242858411696288 is an apocalyptic number.

42858411696288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42858411696288 is an abundant number, since it is smaller than the sum of its proper divisors (88724431281312).

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

42858411696288 is a wasteful number, since it uses less digits than its factorization.

42858411696288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610770731 (or 2610770717 counting only the distinct ones).

The product of its digits is 424673280, while the sum is 72.

The spelling of 42858411696288 in words is "forty-two trillion, eight hundred fifty-eight billion, four hundred eleven million, six hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 2610770693 5221541386 7832312079 10443082772 15664624158 20886165544 23496936237 31329248316 41772331088 46993872474 49604643167 62658496632 70490808711 83544662176 93987744948 99209286334 125316993264 140981617422 148813929501 187975489896 198418572668 250633986528 281963234844 297627859002 375950979792 396837145336 446441788503 563926469688 595255718004 751901959584 793674290672 892883577006 1127852939376 1190511436008 1339325365509 1587348581344 1785767154012 2255705878752 2381022872016 2678650731018 3571534308024 4762045744032 5357301462036 7143068616048 10714602924072 14286137232096 21429205848144 42858411696288