Search a number
-
+
109852830289728 = 2633591077495589
BaseRepresentation
bin11000111110100100011010…
…111011010100111101000000
3112101221211100121202212212000
4120332210122323110331000
5103344312044023232403
61025345405450104000
732065414353600051
oct3076443273247500
9471854317685760
10109852830289728
1132003361928669
12103a226a71b000
13493b1011c6066
141d1ac9641a728
15ca77ce3527a3
hex63e91aed4f40

109852830289728 has 112 divisors (see below), whose sum is σ = 328420655832000. Its totient is φ = 35996972603904.

The previous prime is 109852830289613. The next prime is 109852830289729. The reversal of 109852830289728 is 827982038258901.

109852830289728 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 528 + 3 + 0 + 2 + 8 + 97 + 2 + 8 = 666.

109852830289728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109852830289729) 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, 538645843 + ... + 538849746.

Almost surely, 2109852830289728 is an apocalyptic number.

109852830289728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109852830289728 is an abundant number, since it is smaller than the sum of its proper divisors (218567825542272).

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

109852830289728 is a wasteful number, since it uses less digits than its factorization.

109852830289728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077495669 (or 1077495653 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 109852830289728 in words is "one hundred nine trillion, eight hundred fifty-two billion, eight hundred thirty million, two hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 144 177 192 216 236 288 354 432 472 531 576 708 864 944 1062 1416 1593 1728 1888 2124 2832 3186 3776 4248 5664 6372 8496 11328 12744 16992 25488 33984 50976 101952 1077495589 2154991178 3232486767 4309982356 6464973534 8619964712 9697460301 12929947068 17239929424 19394920602 25859894136 29092380903 34479858848 38789841204 51719788272 58184761806 63572239751 68959717696 77579682408 103439576544 116369523612 127144479502 155159364816 190716719253 206879153088 232739047224 254288959004 310318729632 381433438506 465478094448 508577918008 572150157759 620637459264 762866877012 930956188896 1017155836016 1144300315518 1525733754024 1716450473277 1861912377792 2034311672032 2288600631036 3051467508048 3432900946554 4068623344064 4577201262072 6102935016096 6865801893108 9154402524144 12205870032192 13731603786216 18308805048288 27463207572432 36617610096576 54926415144864 109852830289728