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8134020684 = 22323137919231
BaseRepresentation
bin1111001001101001…
…10100111001001100
3202222212121001201100
413210310310321030
5113124302130214
63423044143100
7405366015006
oct74464647114
922885531640
108134020684
1134a4496149
1216b0097a90
139c82389ba
145723d3376
15329170309
hex1e4d34e4c

8134020684 has 72 divisors (see below), whose sum is σ = 21281361920. Its totient is φ = 2616818400.

The previous prime is 8134020677. The next prime is 8134020701. The reversal of 8134020684 is 4860204318.

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

It is an unprimeable number.

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, 413349 + ... + 432579.

Almost surely, 28134020684 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 8134020684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10640680960).

8134020684 is an abundant number, since it is smaller than the sum of its proper divisors (13147341236).

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

8134020684 is a wasteful number, since it uses less digits than its factorization.

8134020684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19651 (or 19646 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8134020684 is about 90188.8057576992. The cubic root of 8134020684 is about 2011.1065979022.

The spelling of 8134020684 in words is "eight billion, one hundred thirty-four million, twenty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 379 558 758 1116 1137 1516 2274 3411 4548 6822 11749 13644 19231 23498 35247 38462 46996 57693 70494 76924 105741 115386 140988 173079 211482 230772 346158 422964 596161 692316 1192322 1788483 2384644 3576966 5365449 7153932 7288549 10730898 14577098 21461796 21865647 29154196 43731294 65596941 87462588 131193882 225945019 262387764 451890038 677835057 903780076 1355670114 2033505171 2711340228 4067010342 8134020684