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8045466104 = 23131771107599
BaseRepresentation
bin1110111111000110…
…00001000111111000
3202202200222000200002
413133203001013320
5112434114403404
63410202132132
7403242222254
oct73743010770
922680860602
108045466104
113459501845
1216864b1048
139b2aa1940
14564741264
153214cbc1e
hex1df8c11f8

8045466104 has 128 divisors (see below), whose sum is σ = 17635968000. Its totient is φ = 3407738880.

The previous prime is 8045466103. The next prime is 8045466113. The reversal of 8045466104 is 4016645408.

It is a super-2 number, since 2×80454661042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8045466101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13431197 + ... + 13431795.

It is an arithmetic number, because the mean of its divisors is an integer number (137781000).

Almost surely, 28045466104 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 8045466104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817984000).

8045466104 is an abundant number, since it is smaller than the sum of its proper divisors (9590501896).

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

8045466104 is a wasteful number, since it uses less digits than its factorization.

8045466104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 8045466104 is about 89696.5222514229. The cubic root of 8045466104 is about 2003.7816869152.

The spelling of 8045466104 in words is "eight billion, forty-five million, four hundred sixty-six thousand, one hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 71 104 107 136 142 214 221 284 428 442 568 599 856 884 923 1198 1207 1391 1768 1819 1846 2396 2414 2782 3638 3692 4792 4828 5564 7276 7384 7597 7787 9656 10183 11128 14552 15194 15574 15691 20366 23647 30388 31148 31382 40732 42529 47294 60776 62296 62764 64093 81464 85058 94588 98761 125528 128186 129149 132379 170116 189176 197522 256372 258298 264758 340232 395044 512744 516596 529516 552877 722993 790088 833209 1033192 1059032 1089581 1105754 1445986 1666418 1678937 2179162 2211508 2891972 3332836 3357874 4358324 4423016 4550603 5783944 6665672 6715748 8716648 9101206 9398909 13431496 14164553 18202412 18797818 28329106 36404824 37595636 56658212 59157839 75191272 77360251 113316424 118315678 154720502 236631356 309441004 473262712 618882008 1005683263 2011366526 4022733052 8045466104