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10050003335034 = 23313109326894871
BaseRepresentation
bin1001001000111111001011…
…1000001111011101111010
31022120202211000022212021000
42102033302320033131322
52304124401323210114
633212524030025430
72055042310600215
oct222176270173572
938522730285230
1010050003335034
1132252009747a3
121163911948276
1357b9327c5230
1426a5cc08a77c
15126654c45e09
hex923f2e0f77a

10050003335034 has 128 divisors (see below), whose sum is σ = 24087191385600. Its totient is φ = 3087696568320.

The previous prime is 10050003335033. The next prime is 10050003335041. The reversal of 10050003335034 is 43053330005001.

It is a happy number.

10050003335034 is a `hidden beast` number, since 100 + 50 + 0 + 0 + 3 + 3 + 3 + 503 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10050003334989 and 10050003335007.

It is not an unprimeable number, because it can be changed into a prime (10050003335033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2063229619 + ... + 2063234489.

It is an arithmetic number, because the mean of its divisors is an integer number (188181182700).

Almost surely, 210050003335034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10050003335034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12043595692800).

10050003335034 is an abundant number, since it is smaller than the sum of its proper divisors (14037188050566).

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

10050003335034 is a wasteful number, since it uses less digits than its factorization.

10050003335034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8677 (or 8671 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The spelling of 10050003335034 in words is "ten trillion, fifty billion, three million, three hundred thirty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1093 2186 2689 3279 4871 5378 6558 8067 9742 9837 14209 14613 16134 19674 24201 28418 29226 29511 34957 42627 43839 48402 59022 63323 69914 72603 85254 87678 104871 126646 127881 131517 145206 189969 209742 255762 263034 314613 379938 383643 569907 629226 767286 943839 1139814 1709721 1887678 2939077 3419442 5324003 5878154 8817231 10648006 13098119 15972009 17634462 26196238 26451693 31944018 38208001 39294357 47916027 52903386 69212039 76416002 78588714 79355079 95832054 114624003 117883071 138424078 143748081 158710158 170275547 207636117 229248006 235766142 287496162 340551094 343872009 353649213 415272234 510826641 622908351 687744018 707298426 1021653282 1031616027 1245816702 1532479923 1868725053 2063232054 3064959846 3737450106 4597439769 9194879538 14316244067 28632488134 42948732201 85897464402 128846196603 186111172871 257692393206 372222345742 386538589809 558333518613 773077179618 1116667037226 1675000555839 3350001111678 5025001667517 10050003335034