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42095092547088 = 2433752326616319
BaseRepresentation
bin10011001001001000001110…
…00010011011111000010000
312112001020210101011202201000
421210210013002123320100
521004141222143001323
6225310115112342000
711603161430624310
oct1144440702337020
9175036711152630
1042095092547088
111245a479364a49
12487a3893a4900
131a6471ca14079
14a575b0339440
154ceecb1ade43
hex26490709be10

42095092547088 has 160 divisors (see below), whose sum is σ = 138353760665600. Its totient is φ = 12004172348544.

The previous prime is 42095092547029. The next prime is 42095092547089. The reversal of 42095092547088 is 88074529059024.

42095092547088 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 5 + 0 + 9 + 2 + 547 + 0 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42095092547089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11726608 + ... + 14889711.

It is an arithmetic number, because the mean of its divisors is an integer number (864711004160).

Almost surely, 242095092547088 is an apocalyptic number.

42095092547088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42095092547088 is an abundant number, since it is smaller than the sum of its proper divisors (96258668118512).

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

42095092547088 is a wasteful number, since it uses less digits than its factorization.

42095092547088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26616866 (or 26616854 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 42095092547088 in words is "forty-two trillion, ninety-five billion, ninety-two million, five hundred forty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 523 756 1008 1046 1512 1569 2092 3024 3138 3661 4184 4707 6276 7322 8368 9414 10983 12552 14121 14644 18828 21966 25104 28242 29288 32949 37656 43932 56484 58576 65898 75312 87864 98847 112968 131796 175728 197694 225936 263592 395388 527184 790776 1581552 26616319 53232638 79848957 106465276 159697914 186314233 212930552 239546871 319395828 372628466 425861104 479093742 558942699 638791656 718640613 745256932 958187484 1117885398 1277583312 1437281226 1490513864 1676828097 1916374968 2235770796 2874562452 2981027728 3353656194 3832749936 4471541592 5030484291 5749124904 6707312388 8943083184 10060968582 11498249808 13414624776 13920334837 20121937164 26829249552 27840669674 40243874328 41761004511 55681339348 80487748656 83522009022 97442343859 111362678696 125283013533 167044018044 194884687718 222725357392 250566027066 292327031577 334088036088 375849040599 389769375436 501132054132 584654063154 668176072176 751698081198 779538750872 876981094731 1002264108264 1169308126308 1503396162396 1559077501744 1753962189462 2004528216528 2338616252616 2630943284193 3006792324792 3507924378924 4677232505232 5261886568386 6013584649584 7015848757848 10523773136772 14031697515696 21047546273544 42095092547088