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8380249152 = 2631110133917
BaseRepresentation
bin1111100111000000…
…00111010001000000
3210122000220202200020
413303200013101000
5114130320433102
63503321453440
7414445641162
oct76340072100
923560822606
108380249152
113610483250
12175a641280
13a3725a812
14596daa932
15340aabbbc
hex1f3807440

8380249152 has 112 divisors (see below), whose sum is σ = 24218505792. Its totient is φ = 2536314880.

The previous prime is 8380249147. The next prime is 8380249187. The reversal of 8380249152 is 2519420838.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2137498 + ... + 2141414.

Almost surely, 28380249152 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 8380249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12109252896).

8380249152 is an abundant number, since it is smaller than the sum of its proper divisors (15838256640).

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

8380249152 is a wasteful number, since it uses less digits than its factorization.

8380249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 8380249152 is about 91543.7007772790. The cubic root of 8380249152 is about 2031.1982339193.

The spelling of 8380249152 in words is "eight billion, three hundred eighty million, two hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1013 1056 2026 2112 3039 3917 4052 6078 7834 8104 11143 11751 12156 15668 16208 22286 23502 24312 31336 32416 33429 43087 44572 47004 48624 62672 64832 66858 86174 89144 94008 97248 125344 129261 133716 172348 178288 188016 194496 250688 258522 267432 344696 356576 376032 517044 534864 689392 713152 752064 1034088 1069728 1378784 2068176 2139456 2757568 3967921 4136352 7935842 8272704 11903763 15871684 23807526 31743368 43647131 47615052 63486736 87294262 95230104 126973472 130941393 174588524 190460208 253946944 261882786 349177048 380920416 523765572 698354096 761840832 1047531144 1396708192 2095062288 2793416384 4190124576 8380249152