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8374790368 = 257319911217
BaseRepresentation
bin1111100110010110…
…10010100011100000
3210121122122102122001
413303023102203200
5114122421242433
63503004453344
7414351354310
oct76313224340
923548572561
108374790368
113608394a5a
12175884a254
13a36098c79
14596389440
1534037e57d
hex1f32d28e0

8374790368 has 96 divisors (see below), whose sum is σ = 19486752768. Its totient is φ = 3467059200.

The previous prime is 8374790329. The next prime is 8374790371. The reversal of 8374790368 is 8630974738.

It is a super-2 number, since 2×83747903682 (a number of 21 digits) 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 15 ways as a sum of consecutive naturals, for example, 6880896 + ... + 6882112.

It is an arithmetic number, because the mean of its divisors is an integer number (202987008).

Almost surely, 28374790368 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 8374790368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9743376384).

8374790368 is an abundant number, since it is smaller than the sum of its proper divisors (11111962400).

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

8374790368 is a wasteful number, since it uses less digits than its factorization.

8374790368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The square root of 8374790368 is about 91513.8807394813. The cubic root of 8374790368 is about 2030.7571061919.

The spelling of 8374790368 in words is "eight billion, three hundred seventy-four million, seven hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 991 992 1217 1736 1982 2434 3472 3964 4868 6937 6944 7928 8519 9736 13874 15856 17038 19472 27748 30721 31712 34076 37727 38944 55496 61442 68152 75454 110992 122884 136304 150908 215047 221984 245768 264089 272608 301816 430094 491536 528178 603632 860188 983072 1056356 1206047 1207264 1720376 2112712 2412094 3440752 4225424 4824188 6881504 8442329 8450848 9648376 16884658 19296752 33769316 37387457 38593504 67538632 74774914 135077264 149549828 261712199 270154528 299099656 523424398 598199312 1046848796 1196398624 2093697592 4187395184 8374790368