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76341737142 = 234113110313417
BaseRepresentation
bin100011100011001010…
…0100111011010110110
321022001101110001210000
41013012110213122312
52222321441042032
655023152212130
75341551026136
oct1070624473266
9238041401700
1076341737142
112a415a14050
121296683a046
137278265638
1439a2d80ac6
151ebc24de7c
hex11c65276b6

76341737142 has 160 divisors (see below), whose sum is σ = 194517633024. Its totient is φ = 22168598400.

The previous prime is 76341737119. The next prime is 76341737183. The reversal of 76341737142 is 24173714367.

It is a happy number.

76341737142 is a `hidden beast` number, since 7 + 63 + 417 + 37 + 142 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5683218 + ... + 5696634.

Almost surely, 276341737142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76341737142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97258816512).

76341737142 is an abundant number, since it is smaller than the sum of its proper divisors (118175895882).

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

76341737142 is a wasteful number, since it uses less digits than its factorization.

76341737142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13576 (or 13567 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The spelling of 76341737142 in words is "seventy-six billion, three hundred forty-one million, seven hundred thirty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 103 162 186 198 206 279 297 309 341 558 594 618 682 837 891 927 1023 1133 1674 1782 1854 2046 2266 2511 2781 3069 3193 3399 5022 5562 6138 6386 6798 8343 9207 9579 10197 13417 16686 18414 19158 20394 26834 27621 28737 30591 35123 40251 55242 57474 61182 70246 80502 86211 91773 105369 120753 147587 172422 183546 210738 241506 258633 295174 316107 362259 415927 442761 517266 632214 724518 831854 885522 948321 1086777 1247781 1328283 1381951 1896642 2173554 2495562 2656566 2763902 2844963 3743343 3984849 4145853 4575197 5689926 7486686 7969698 8291706 9150394 11230029 11954547 12437559 13725591 15201461 22460058 23909094 24875118 27451182 30402922 33690087 37312677 41176773 42840481 45604383 67380174 74625354 82353546 85680962 91208766 111938031 123530319 128521443 136813149 223876062 247060638 257042886 273626298 370590957 385564329 410439447 471245291 741181914 771128658 820878894 942490582 1156692987 1231318341 1413735873 2313385974 2462636682 2827471746 3470078961 4241207619 6940157922 8482415238 12723622857 25447245714 38170868571 76341737142