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42312556176 = 243112393311013
BaseRepresentation
bin100111011010000001…
…100101111010010000
311001012211112120012020
4213122001211322100
51143124003244201
631234344531440
73025354536042
oct473201457220
9131184476166
1042312556176
1116a433757a0
12824a480b80
133cb42028b7
142095787a92
151179a38a36
hex9da065e90

42312556176 has 160 divisors (see below), whose sum is σ = 120223733760. Its totient is φ = 12717196800.

The previous prime is 42312556159. The next prime is 42312556189. The reversal of 42312556176 is 67165521324.

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, 41769046 + ... + 41770058.

It is an arithmetic number, because the mean of its divisors is an integer number (751398336).

Almost surely, 242312556176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42312556176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60111866880).

42312556176 is an abundant number, since it is smaller than the sum of its proper divisors (77911177584).

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

42312556176 is a wasteful number, since it uses less digits than its factorization.

42312556176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1599 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The spelling of 42312556176 in words is "forty-two billion, three hundred twelve million, five hundred fifty-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 239 264 331 478 528 662 717 956 993 1013 1324 1434 1912 1986 2026 2629 2648 2868 3039 3641 3824 3972 4052 5258 5296 5736 6078 7282 7887 7944 8104 10516 10923 11143 11472 12156 14564 15774 15888 16208 21032 21846 22286 24312 29128 31548 33429 42064 43692 44572 48624 58256 63096 66858 79109 87384 89144 126192 133716 158218 174768 178288 237327 242107 267432 316436 335303 474654 484214 534864 632872 670606 726321 870199 949308 968428 1005909 1265744 1341212 1452642 1740398 1898616 1936856 2011818 2610597 2663177 2682424 2905284 3480796 3688333 3797232 3873712 4023636 5221194 5326354 5364848 5810568 6961592 7376666 7989531 8047272 10442388 10652708 11064999 11621136 13923184 14753332 15979062 16094544 20884776 21305416 22129998 29506664 31958124 41769552 42610832 44259996 59013328 63916248 80137417 88519992 127832496 160274834 177039984 240412251 320549668 480824502 641099336 881511587 961649004 1282198672 1763023174 1923298008 2644534761 3526046348 3846596016 5289069522 7052092696 10578139044 14104185392 21156278088 42312556176