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2058667416 = 2332132367461
BaseRepresentation
bin111101010110100…
…1100010110011000
312022110202010210100
41322231030112120
513204004324131
6540140215400
7102005245551
oct17255142630
95273663710
102058667416
11967078333
1249553a560
1326a678900
141575ab328
15c0b007e6
hex7ab4c598

2058667416 has 144 divisors (see below), whose sum is σ = 6067020960. Its totient is φ = 630339840.

The previous prime is 2058667397. The next prime is 2058667427. The reversal of 2058667416 is 6147668502.

2058667416 is a `hidden beast` number, since 2 + 0 + 586 + 67 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×20586674162 = 8476223059400234112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4465426 + ... + 4465886.

It is an arithmetic number, because the mean of its divisors is an integer number (42132090).

Almost surely, 22058667416 is an apocalyptic number.

2058667416 is a gapful number since it is divisible by the number (26) 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 2058667416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033510480).

2058667416 is an abundant number, since it is smaller than the sum of its proper divisors (4008353544).

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

2058667416 is a wasteful number, since it uses less digits than its factorization.

2058667416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2058667416 is about 45372.5403300278. The cubic root of 2058667416 is about 1272.1219029960.

The spelling of 2058667416 in words is "two billion, fifty-eight million, six hundred sixty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 367 461 468 507 676 734 922 936 1014 1101 1352 1383 1468 1521 1844 2028 2202 2766 2936 3042 3303 3688 4056 4149 4404 4771 5532 5993 6084 6606 8298 8808 9542 11064 11986 12168 13212 14313 16596 17979 19084 23972 26424 28626 33192 35958 38168 42939 47944 53937 57252 62023 71916 77909 85878 107874 114504 124046 143832 155818 169187 171756 186069 215748 233727 248092 311636 338374 343512 372138 431496 467454 496184 507561 558207 623272 676748 701181 744276 934908 1015122 1116414 1353496 1402362 1488552 1522683 1869816 2030244 2199431 2232828 2804724 3045366 4060488 4398862 4465656 5609448 6090732 6598293 8797724 12181464 13196586 17595448 19794879 26393172 28592603 39589758 52786344 57185206 79179516 85777809 114370412 158359032 171555618 228740824 257333427 343111236 514666854 686222472 1029333708 2058667416