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34706422512 = 243515756857
BaseRepresentation
bin100000010100101010…
…011111101011110000
310022120202020221100000
4200110222133223300
51032034321010022
623535515030000
72336025503166
oct402452375360
9108522227300
1034706422512
111379a963a13
12688713b300
1333714642a8
141973529236
15d81dde6ac
hex814a9faf0

34706422512 has 120 divisors (see below), whose sum is σ = 101370536176. Its totient is φ = 11494918656.

The previous prime is 34706422511. The next prime is 34706422519. The reversal of 34706422512 is 21522460743.

34706422512 is a `hidden beast` number, since 3 + 4 + 7 + 0 + 642 + 2 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34706422511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581988 + ... + 638844.

Almost surely, 234706422512 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 34706422512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50685268088).

34706422512 is an abundant number, since it is smaller than the sum of its proper divisors (66664113664).

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

34706422512 is a wasteful number, since it uses less digits than its factorization.

34706422512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57037 (or 57019 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 34706422512 in words is "thirty-four billion, seven hundred six million, four hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 157 162 216 243 314 324 432 471 486 628 648 942 972 1256 1296 1413 1884 1944 2512 2826 3768 3888 4239 5652 7536 8478 11304 12717 16956 22608 25434 33912 38151 50868 56857 67824 76302 101736 113714 152604 170571 203472 227428 305208 341142 454856 511713 610416 682284 909712 1023426 1364568 1535139 2046852 2729136 3070278 4093704 4605417 6140556 8187408 8926549 9210834 12281112 13816251 17853098 18421668 24562224 26779647 27632502 35706196 36843336 53559294 55265004 71412392 73686672 80338941 107118588 110530008 142824784 160677882 214237176 221060016 241016823 321355764 428474352 482033646 642711528 723050469 964067292 1285423056 1446100938 1928134584 2169151407 2892201876 3856269168 4338302814 5784403752 8676605628 11568807504 17353211256 34706422512