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1027629514670 = 251119835923961
BaseRepresentation
bin11101111010000110111…
…11011111111110101110
310122020111021020012022012
432331003133133332232
5113314041123432140
62104030402521222
7134146421515643
oct16750337377656
93566437205265
101027629514670
113668a7086240
121471b3066212
1375b9c50a0a5
1437a47b15dca
151bae71e9265
hexef437dffae

1027629514670 has 64 divisors (see below), whose sum is σ = 2149687330560. Its totient is φ = 349750598400.

The previous prime is 1027629514661. The next prime is 1027629514687. The reversal of 1027629514670 is 764159267201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2788511 + ... + 3135450.

It is an arithmetic number, because the mean of its divisors is an integer number (33588864540).

Almost surely, 21027629514670 is an apocalyptic number.

1027629514670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1027629514670 is an abundant number, since it is smaller than the sum of its proper divisors (1122057815890).

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

1027629514670 is a wasteful number, since it uses less digits than its factorization.

1027629514670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924081.

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 1027629514670 in words is "one trillion, twenty-seven billion, six hundred twenty-nine million, five hundred fourteen thousand, six hundred seventy".

Divisors: 1 2 5 10 11 19 22 38 55 83 95 110 166 190 209 415 418 830 913 1045 1577 1826 2090 3154 4565 7885 9130 15770 17347 34694 86735 173470 5923961 11847922 29619805 59239610 65163571 112555259 130327142 225110518 325817855 491688763 562776295 651635710 983377526 1125552590 1238107849 2458443815 2476215698 4916887630 5408576393 6190539245 9342086497 10817152786 12381078490 18684172994 27042881965 46710432485 54085763930 93420864970 102762951467 205525902934 513814757335 1027629514670