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5985378408 = 2333761910889
BaseRepresentation
bin1011001001100000…
…11010000001101000
3120110010112201121210
411210300122001220
544224224102113
62425531233120
7301215606552
oct54460320150
916403481553
105985378408
1125a1654429
1211b05a87a0
13745049739
1440acc44d2
152506ea6c3
hex164c1a068

5985378408 has 64 divisors (see below), whose sum is σ = 15394104000. Its totient is φ = 1937889792.

The previous prime is 5985378407. The next prime is 5985378431. The reversal of 5985378408 is 8048735895.

It is a happy number.

It is a super-2 number, since 2×59853784082 = 71649509373905228928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5985378403) 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, 544228 + ... + 555116.

It is an arithmetic number, because the mean of its divisors is an integer number (240532875).

Almost surely, 25985378408 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 5985378408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697052000).

5985378408 is an abundant number, since it is smaller than the sum of its proper divisors (9408725592).

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

5985378408 is a wasteful number, since it uses less digits than its factorization.

5985378408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11554 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The square root of 5985378408 is about 77365.2273828495. The cubic root of 5985378408 is about 1815.6433257415.

The spelling of 5985378408 in words is "five billion, nine hundred eighty-five million, three hundred seventy-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 619 888 1238 1857 2476 3714 4952 7428 10889 14856 21778 22903 32667 43556 45806 65334 68709 87112 91612 130668 137418 183224 261336 274836 402893 549672 805786 1208679 1611572 2417358 3223144 4834716 6740291 9669432 13480582 20220873 26961164 40441746 53922328 80883492 161766984 249390767 498781534 748172301 997563068 1496344602 1995126136 2992689204 5985378408