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8012501742 = 2371912378117
BaseRepresentation
bin1110111011001010…
…10001001011101110
3202200101221021001210
413131211101023232
5112402200023432
63403023415250
7402362066250
oct73545211356
922611837053
108012501742
113441937173
121677454526
139a8ccc5bb
145601ddcd0
1531d6698cc
hex1dd9512ee

8012501742 has 64 divisors (see below), whose sum is σ = 19296161280. Its totient is φ = 2166777216.

The previous prime is 8012501713. The next prime is 8012501779. The reversal of 8012501742 is 2471052108.

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, 983068 + ... + 991184.

It is an arithmetic number, because the mean of its divisors is an integer number (301502520).

Almost surely, 28012501742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8012501742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9648080640).

8012501742 is an abundant number, since it is smaller than the sum of its proper divisors (11283659538).

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

8012501742 is a wasteful number, since it uses less digits than its factorization.

8012501742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9385.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 8012501742 is about 89512.5786803173. The cubic root of 8012501742 is about 2001.0412696180.

The spelling of 8012501742 in words is "eight billion, twelve million, five hundred one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1237 2474 3711 7422 8117 8659 16234 17318 23503 24351 25977 47006 48702 51954 56819 70509 113638 141018 154223 164521 170457 308446 329042 340914 462669 493563 925338 987126 1079561 2159122 3238683 6477366 10040729 20081458 30122187 60244374 70285103 140570206 190773851 210855309 381547702 421710618 572321553 1144643106 1335416957 2670833914 4006250871 8012501742