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1109214775552 = 28133114717309
BaseRepresentation
bin10000001001000010010…
…110100100100100000000
310221001002002021212102011
4100021002112210210000
5121133132440304202
62205322150102304
7143065243012252
oct20110226444400
93831062255364
101109214775552
11398462907284
1215ab8194a994
13807a1bb6ca0
143b987229cd2
151dcbe954bd7
hex102425a4900

1109214775552 has 144 divisors (see below), whose sum is σ = 2463338536960. Its totient is φ = 495026380800.

The previous prime is 1109214775523. The next prime is 1109214775577. The reversal of 1109214775552 is 2555774129011.

It is a junction number, because it is equal to n+sod(n) for n = 1109214775496 and 1109214775505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151756474 + ... + 151763782.

Almost surely, 21109214775552 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 1109214775552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231669268480).

1109214775552 is an abundant number, since it is smaller than the sum of its proper divisors (1354123761408).

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

1109214775552 is a wasteful number, since it uses less digits than its factorization.

1109214775552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8840 (or 8826 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 49.

The spelling of 1109214775552 in words is "one trillion, one hundred nine billion, two hundred fourteen million, seven hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 806 832 992 1471 1612 1664 1984 2942 3224 3328 3968 5884 6448 7309 7936 11768 12896 14618 19123 23536 25792 29236 38246 45601 47072 51584 58472 76492 91202 94144 95017 103168 116944 152984 182404 188288 190034 226579 233888 305968 364808 376576 380068 453158 467776 592813 611936 729616 760136 906316 935552 1185626 1223872 1459232 1520272 1812632 1871104 2371252 2447744 2918464 2945527 3040544 3625264 4742504 4895488 5836928 5891054 6081088 7250528 9485008 10751539 11673856 11782108 12162176 14501056 18970016 21503078 23564216 24324352 29002112 37940032 43006156 47128432 58004224 75880064 86012312 94256864 139770007 151760128 172024624 188513728 279540014 333297709 344049248 377027456 559080028 666595418 688098496 754054912 1118160056 1333190836 1376196992 2236320112 2666381672 2752393984 4332870217 4472640224 5332763344 8665740434 8945280448 10665526688 17331480868 17890560896 21331053376 34662961736 35781121792 42662106752 69325923472 85324213504 138651846944 277303693888 554607387776 1109214775552