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8914300128 = 253428112239
BaseRepresentation
bin10000100110101010…
…10110110011100000
3212000020211100220000
420103111112303200
5121224030101003
64032320220000
7433622205126
oct102325266340
925006740800
108914300128
113864987698
12188946a600
13ac0aa5706
14607ca7916
153728ee1a3
hex213556ce0

8914300128 has 120 divisors (see below), whose sum is σ = 26312156640. Its totient is φ = 2960616960.

The previous prime is 8914300103. The next prime is 8914300151. The reversal of 8914300128 is 8210034198.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8914300092 and 8914300101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 722233 + ... + 734471.

It is an arithmetic number, because the mean of its divisors is an integer number (219267972).

Almost surely, 28914300128 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 8914300128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13156078320).

8914300128 is an abundant number, since it is smaller than the sum of its proper divisors (17397856512).

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

8914300128 is a wasteful number, since it uses less digits than its factorization.

8914300128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12542 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8914300128 is about 94415.5714275987. The cubic root of 8914300128 is about 2073.4604249546.

The spelling of 8914300128 in words is "eight billion, nine hundred fourteen million, three hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 281 288 324 432 562 648 843 864 1124 1296 1686 2248 2529 2592 3372 4496 5058 6744 7587 8992 10116 12239 13488 15174 20232 22761 24478 26976 30348 36717 40464 45522 48956 60696 73434 80928 91044 97912 110151 121392 146868 182088 195824 220302 242784 293736 330453 364176 391648 440604 587472 660906 728352 881208 991359 1174944 1321812 1762416 1982718 2643624 3439159 3524832 3965436 5287248 6878318 7930872 10317477 10574496 13756636 15861744 20634954 27513272 30952431 31723488 41269908 55026544 61904862 82539816 92857293 110053088 123809724 165079632 185714586 247619448 278571879 330159264 371429172 495238896 557143758 742858344 990477792 1114287516 1485716688 2228575032 2971433376 4457150064 8914300128