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1093856607376 = 24132201132
BaseRepresentation
bin11111110101011101110…
…11110011110010010000
310212120102202012002100121
433322232323303302100
5120410204242414001
62154302155200024
7142012533515611
oct17725673636220
93776382162317
101093856607376
113919a15a1205
12157bb6446014
137c1c50b4c00
143ad2b60dc08
151d6c14916a1
hexfeaeef3c90

1093856607376 has 45 divisors (see below), whose sum is σ = 2295028505259. Its totient is φ = 504831794688.

The previous prime is 1093856607359. The next prime is 1093856607397. The reversal of 1093856607376 is 6737066583901.

The square root of 1093856607376 is 1045876.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 698768933776 + 395087673600 = 835924^2 + 628560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54375496 + ... + 54395608.

Almost surely, 21093856607376 is an apocalyptic number.

1093856607376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1093856607376 is the 1045876-th square number.

It is an amenable number.

1093856607376 is an abundant number, since it is smaller than the sum of its proper divisors (1201171897883).

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

1093856607376 is an frugal number, since it uses more digits than its factorization.

1093856607376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40260 (or 20128 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 61.

The spelling of 1093856607376 in words is "one trillion, ninety-three billion, eight hundred fifty-six million, six hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 20113 40226 80452 160904 261469 321808 522938 1045876 2091752 3399097 4183504 6798194 13596388 27192776 54385552 404532769 809065538 1618131076 3236262152 5258925997 6472524304 10517851994 21035703988 42071407976 68366037961 84142815952 136732075922 273464151844 546928303688 1093856607376