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8378136768 = 263239719559
BaseRepresentation
bin1111100110110000…
…00011100011000000
3210121212221110000210
413303120003203000
5114124300334033
63503204314120
7414421662501
oct76330034300
923555843023
108378136768
11360a270181
1217599a2940
13a3699b1a1
145969baba8
153407e0d63
hex1f36038c0

8378136768 has 112 divisors (see below), whose sum is σ = 23370600960. Its totient is φ = 2643615744.

The previous prime is 8378136757. The next prime is 8378136769. The reversal of 8378136768 is 8676318738.

It is not an unprimeable number, because it can be changed into a prime (8378136769) 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, 418573 + ... + 438131.

It is an arithmetic number, because the mean of its divisors is an integer number (208666080).

Almost surely, 28378136768 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 8378136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11685300480).

8378136768 is an abundant number, since it is smaller than the sum of its proper divisors (14992464192).

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

8378136768 is a wasteful number, since it uses less digits than its factorization.

8378136768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19694 (or 19684 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The square root of 8378136768 is about 91532.1624785518. The cubic root of 8378136768 is about 2031.0275535837.

The spelling of 8378136768 in words is "eight billion, three hundred seventy-eight million, one hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 97 138 184 192 194 276 291 368 388 552 582 736 776 1104 1164 1472 1552 2208 2231 2328 3104 4416 4462 4656 6208 6693 8924 9312 13386 17848 18624 19559 26772 35696 39118 53544 58677 71392 78236 107088 117354 142784 156472 214176 234708 312944 428352 449857 469416 625888 899714 938832 1251776 1349571 1799428 1877664 1897223 2699142 3598856 3755328 3794446 5398284 5691669 7197712 7588892 10796568 11383338 14395424 15177784 21593136 22766676 28790848 30355568 43186272 43636129 45533352 60711136 86372544 87272258 91066704 121422272 130908387 174544516 182133408 261816774 349089032 364266816 523633548 698178064 1047267096 1396356128 2094534192 2792712256 4189068384 8378136768