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1126415700816 = 243713125591051
BaseRepresentation
bin10000011001000011100…
…110111001001101010000
310222200110211212101222020
4100121003212321031100
5121423344404411231
62221245045411440
7144244426323360
oct20310346711520
93880424771866
101126415700816
113a478a32aa9a
12162382409b80
13822b36c9883
143c73988c9a0
151e479aba396
hex106439b9350

1126415700816 has 80 divisors (see below), whose sum is σ = 3350994713088. Its totient is φ = 319376304000.

The previous prime is 1126415700797. The next prime is 1126415700863. The reversal of 1126415700816 is 6180075146211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12751510 + ... + 12839541.

Almost surely, 21126415700816 is an apocalyptic number.

1126415700816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1126415700816 is an abundant number, since it is smaller than the sum of its proper divisors (2224579012272).

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

1126415700816 is a wasteful number, since it uses less digits than its factorization.

1126415700816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25591200 (or 25591194 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 1126415700816 in words is "one trillion, one hundred twenty-six billion, four hundred fifteen million, seven hundred thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2096 2751 3144 3668 5502 6288 7336 11004 14672 22008 44016 25591051 51182102 76773153 102364204 153546306 179137357 204728408 307092612 358274714 409456816 537412071 614185224 716549428 1074824142 1228370448 1433098856 2149648284 2866197712 3352427681 4299296568 6704855362 8598593136 10057283043 13409710724 20114566086 23466993767 26819421448 40229132172 46933987534 53638842896 70400981301 80458264344 93867975068 140801962602 160916528688 187735950136 281603925204 375471900272 563207850408 1126415700816