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8045419008 = 29311974909
BaseRepresentation
bin1110111111000101…
…10101101000000000
3202202200212122001210
413133202311220000
5112434111402013
63410201130120
7403241635044
oct73742655000
922680778053
108045419008
11345947a420
121686489940
139b2a86383
1456472c024
153214bccc3
hex1df8b5a00

8045419008 has 160 divisors (see below), whose sum is σ = 23627862720. Its totient is φ = 2412380160.

The previous prime is 8045419001. The next prime is 8045419069. The reversal of 8045419008 is 8009145408.

It is not an unprimeable number, because it can be changed into a prime (8045419001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1636458 + ... + 1641366.

It is an arithmetic number, because the mean of its divisors is an integer number (147674142).

Almost surely, 28045419008 is an apocalyptic number.

8045419008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8045419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11813931360).

8045419008 is an abundant number, since it is smaller than the sum of its proper divisors (15582443712).

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

8045419008 is a wasteful number, since it uses less digits than its factorization.

8045419008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 8045419008 is about 89696.2597213507. The cubic root of 8045419008 is about 2003.7777770407. Note that the first 6 decimals are identical.

The spelling of 8045419008 in words is "eight billion, forty-five million, four hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 97 128 132 176 192 194 256 264 291 352 384 388 512 528 582 704 768 776 1056 1067 1164 1408 1536 1552 2112 2134 2328 2816 3104 3201 4224 4268 4656 4909 5632 6208 6402 8448 8536 9312 9818 12416 12804 14727 16896 17072 18624 19636 24832 25608 29454 34144 37248 39272 49664 51216 53999 58908 68288 74496 78544 102432 107998 117816 136576 148992 157088 161997 204864 215996 235632 273152 314176 323994 409728 431992 471264 476173 546304 628352 647988 819456 863984 942528 952346 1256704 1295976 1428519 1638912 1727968 1885056 1904692 2513408 2591952 2857038 3455936 3770112 3809384 5183904 5237903 5714076 6911872 7540224 7618768 10367808 10475806 11428152 13823744 15237536 15713709 20735616 20951612 22856304 27647488 30475072 31427418 41471232 41903224 45712608 60950144 62854836 82942464 83806448 91425216 121900288 125709672 167612896 182850432 243800576 251419344 335225792 365700864 502838688 670451584 731401728 1005677376 1340903168 2011354752 2681806336 4022709504 8045419008