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2047416030 = 23251113115787
BaseRepresentation
bin111101000001001…
…0001011011011110
312021200120111210100
41322002101123132
513143114303110
6535055121530
7101510514642
oct17202213336
95250514710
102047416030
11960792a70
124918132a6
1326823959a
14155cbcc22
15beb2bbc0
hex7a0916de

2047416030 has 96 divisors (see below), whose sum is σ = 5851916928. Its totient is φ = 492523200.

The previous prime is 2047416013. The next prime is 2047416043. The reversal of 2047416030 is 306147402.

2047416030 is a `hidden beast` number, since 2 + 0 + 474 + 160 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2047415985 and 2047416003.

It is a congruent number.

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, 121797 + ... + 137583.

It is an arithmetic number, because the mean of its divisors is an integer number (60957468).

Almost surely, 22047416030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047416030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925958464).

2047416030 is an abundant number, since it is smaller than the sum of its proper divisors (3804500898).

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

2047416030 is a wasteful number, since it uses less digits than its factorization.

2047416030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15942 (or 15939 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2047416030 is about 45248.3815180168. The cubic root of 2047416030 is about 1269.8001276794.

The spelling of 2047416030 in words is "two billion, forty-seven million, four hundred sixteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 131 165 198 262 330 393 495 655 786 990 1179 1310 1441 1965 2358 2882 3930 4323 5895 7205 8646 11790 12969 14410 15787 21615 25938 31574 43230 47361 64845 78935 94722 129690 142083 157870 173657 236805 284166 347314 473610 520971 710415 868285 1041942 1420830 1562913 1736570 2068097 2604855 3125826 4136194 5209710 6204291 7814565 10340485 12408582 15629130 18612873 20680970 22749067 31021455 37225746 45498134 62042910 68247201 93064365 113745335 136494402 186128730 204741603 227490670 341236005 409483206 682472010 1023708015 2047416030