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8134832004 = 22313234748239
BaseRepresentation
bin1111001001101111…
…11010111110000100
3202222221010021122020
413210313322332010
5113130004111004
63423113403140
7405405634245
oct74467727604
922887107566
108134832004
1134a499a762
1216b04094b0
139c8461080
14572564ccc
153292808d9
hex1e4dfaf84

8134832004 has 96 divisors (see below), whose sum is σ = 21784412160. Its totient is φ = 2343209088.

The previous prime is 8134831997. The next prime is 8134832039. The reversal of 8134832004 is 4002384318.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144517 + ... + 192755.

It is an arithmetic number, because the mean of its divisors is an integer number (226920960).

Almost surely, 28134832004 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 8134832004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892206080).

8134832004 is an abundant number, since it is smaller than the sum of its proper divisors (13649580156).

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

8134832004 is a wasteful number, since it uses less digits than its factorization.

8134832004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48329 (or 48327 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 8134832004 is about 90193.3035430015. The cubic root of 8134832004 is about 2011.1734609713.

The spelling of 8134832004 in words is "eight billion, one hundred thirty-four million, eight hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 47 52 69 78 92 94 138 141 156 188 276 282 299 564 598 611 897 1081 1196 1222 1794 1833 2162 2444 3243 3588 3666 4324 6486 7332 12972 14053 28106 42159 48239 56212 84318 96478 144717 168636 192956 289434 578868 627107 1109497 1254214 1881321 2218994 2267233 2508428 3328491 3762642 4437988 4534466 6656982 6801699 7525284 9068932 13313964 13603398 14423461 27206796 28846922 29474029 43270383 52146359 57693844 58948058 86540766 88422087 104292718 117896116 156439077 173081532 176844174 208585436 312878154 353688348 625756308 677902667 1355805334 2033708001 2711610668 4067416002 8134832004