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10005550020 = 2232555586389
BaseRepresentation
bin10010101000110000…
…01001001111000100
3221211022012121022200
421110120021033010
5130442410100040
64332501354500
7502642525524
oct112430111704
927738177280
1010005550020
114274965904
121b32a08a30
13c35bb16cb
146acba9684
153d8607630
hex2546093c4

10005550020 has 36 divisors (see below), whose sum is σ = 30350168940. Its totient is φ = 2668146624.

The previous prime is 10005549973. The next prime is 10005550031. The reversal of 10005550020 is 2005550001.

It can be written as a sum of positive squares in 2 ways, for example, as 3320525376 + 6685024644 = 57624^2 + 81762^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100055500202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10005549975 and 10005550002.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 27793015 + ... + 27793374.

Almost surely, 210005550020 is an apocalyptic number.

10005550020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005550020 is an abundant number, since it is smaller than the sum of its proper divisors (20344618920).

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

10005550020 is a wasteful number, since it uses less digits than its factorization.

10005550020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55586404 (or 55586399 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The spelling of 10005550020 in words is "ten billion, five million, five hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 55586389 111172778 166759167 222345556 277931945 333518334 500277501 555863890 667036668 833795835 1000555002 1111727780 1667591670 2001110004 2501387505 3335183340 5002775010 10005550020