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8010010734 = 23111753134699
BaseRepresentation
bin1110111010110111…
…10001000001101110
3202200020020201001020
413131123301001232
5112401030320414
63402454155010
7402331652655
oct73533610156
922606221036
108010010734
113440495690
121676652a66
139a863982b
1455db5219c
1531d3267a9
hex1dd6f106e

8010010734 has 64 divisors (see below), whose sum is σ = 18853689600. Its totient is φ = 2241374720.

The previous prime is 8010010721. The next prime is 8010010753. The reversal of 8010010734 is 4370100108.

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 31 ways as a sum of consecutive naturals, for example, 7884 + ... + 126815.

It is an arithmetic number, because the mean of its divisors is an integer number (294588900).

Almost surely, 28010010734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8010010734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9426844800).

8010010734 is an abundant number, since it is smaller than the sum of its proper divisors (10843678866).

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

8010010734 is a wasteful number, since it uses less digits than its factorization.

8010010734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134785.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 8010010734 is about 89498.6633084539. The cubic root of 8010010734 is about 2000.8338801070.

The spelling of 8010010734 in words is "eight billion, ten million, ten thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 53 66 102 106 159 187 318 374 561 583 901 1122 1166 1749 1802 2703 3498 5406 9911 19822 29733 59466 134699 269398 404097 808194 1481689 2289883 2963378 4445067 4579766 6869649 7139047 8890134 13739298 14278094 21417141 25188713 42834282 50377426 75566139 78529517 121363799 151132278 157059034 235588551 242727598 364091397 471177102 728182794 1335001789 2670003578 4005005367 8010010734