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1128416113395 = 335171074595183
BaseRepresentation
bin10000011010111010110…
…101110111001011110011
310222212122020222220011000
4100122322311313023303
5121441444011112040
62222215345253043
7144345126464124
oct20327265671363
93885566886130
101128416113395
113a561652962a
12162840334183
1382541c8995c
143c88941404b
151e545510130
hex106bad772f3

1128416113395 has 64 divisors (see below), whose sum is σ = 2143929047040. Its totient is φ = 561126864384.

The previous prime is 1128416113379. The next prime is 1128416113423. The reversal of 1128416113395 is 5933116148211.

1128416113395 is a `hidden beast` number, since 1 + 1 + 28 + 4 + 1 + 611 + 3 + 3 + 9 + 5 = 666.

It is not a de Polignac number, because 1128416113395 - 24 = 1128416113379 is a prime.

It is a super-3 number, since 3×11284161133953 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1128416113395.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2052027 + ... + 2543156.

It is an arithmetic number, because the mean of its divisors is an integer number (33498891360).

Almost surely, 21128416113395 is an apocalyptic number.

1128416113395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1128416113395 is a deficient number, since it is larger than the sum of its proper divisors (1015512933645).

1128416113395 is a wasteful number, since it uses less digits than its factorization.

1128416113395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595321 (or 4595315 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 1128416113395 in words is "one trillion, one hundred twenty-eight billion, four hundred sixteen million, one hundred thirteen thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 107 135 153 255 321 459 535 765 963 1605 1819 2295 2889 4815 5457 9095 14445 16371 27285 49113 81855 245565 4595183 13785549 22975915 41356647 68927745 78118111 124069941 206783235 234354333 390590555 491684581 620349705 703062999 1171771665 1475053743 2109188997 2458422905 3515314995 4425161229 7375268715 8358637877 10545944985 13275483687 22125806145 25075913631 41793189385 66377418435 75227740893 125379568155 225683222679 376138704465 1128416113395