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11276008020 = 22325591061771
BaseRepresentation
bin10101000000001101…
…00011101001010100
31002002211210120001200
422200012203221110
5141043124224040
65102523552500
7546300325644
oct124006435124
932084716050
1011276008020
1148670157a2
12222838b730
1310a9174cc4
1478d7da524
1545ee0e630
hex2a01a3a54

11276008020 has 72 divisors (see below), whose sum is σ = 34783650720. Its totient is φ = 2955967680.

The previous prime is 11276008019. The next prime is 11276008021. The reversal of 11276008020 is 2080067211.

11276008020 is a `hidden beast` number, since 11 + 27 + 600 + 8 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (11276008019) and next prime (11276008021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11276008021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520266 + ... + 541505.

It is an arithmetic number, because the mean of its divisors is an integer number (483106260).

Almost surely, 211276008020 is an apocalyptic number.

11276008020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11276008020 is an abundant number, since it is smaller than the sum of its proper divisors (23507642700).

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

11276008020 is a wasteful number, since it uses less digits than its factorization.

11276008020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061845 (or 1061840 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11276008020 in words is "eleven billion, two hundred seventy-six million, eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 1061771 2123542 3185313 4247084 5308855 6370626 9555939 10617710 12741252 15926565 19111878 21235420 31853130 38223756 47779695 62644489 63706260 95559390 125288978 187933467 191118780 250577956 313222445 375866934 563800401 626444890 751733868 939667335 1127600802 1252889780 1879334670 2255201604 2819002005 3758669340 5638004010 11276008020