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8042051010 = 2357237147859
BaseRepresentation
bin1110111110101011…
…11111010111000010
3202202110112112001010
413133111333113002
5112432231113020
63410001021350
7403201206600
oct73725772702
922673475033
108042051010
113457589a54
121685324856
139b2177386
145640d2870
15321054de0
hex1df57f5c2

8042051010 has 96 divisors (see below), whose sum is σ = 23059062720. Its totient is φ = 1788490368.

The previous prime is 8042050999. The next prime is 8042051029. The reversal of 8042051010 is 101502408.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19540 + ... + 128319.

It is an arithmetic number, because the mean of its divisors is an integer number (240198570).

Almost surely, 28042051010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8042051010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11529531360).

8042051010 is an abundant number, since it is smaller than the sum of its proper divisors (15017011710).

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

8042051010 is a wasteful number, since it uses less digits than its factorization.

8042051010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147920 (or 147913 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 8042051010 is about 89677.4832943030. The cubic root of 8042051010 is about 2003.4981288135.

Adding to 8042051010 its reverse (101502408), we get a palindrome (8143553418).

The spelling of 8042051010 in words is "eight billion, forty-two million, fifty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 49 70 74 98 105 111 147 185 210 222 245 259 294 370 490 518 555 735 777 1110 1295 1470 1554 1813 2590 3626 3885 5439 7770 9065 10878 18130 27195 54390 147859 295718 443577 739295 887154 1035013 1478590 2070026 2217885 3105039 4435770 5175065 5470783 6210078 7245091 10350130 10941566 14490182 15525195 16412349 21735273 27353915 31050390 32824698 36225455 38295481 43470546 54707830 72450910 76590962 82061745 108676365 114886443 164123490 191477405 217352730 229772886 268068367 382954810 536136734 574432215 804205101 1148864430 1340341835 1608410202 2680683670 4021025505 8042051010