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10906908880 = 245719476623
BaseRepresentation
bin10100010100001101…
…00011100011010000
31001011010021101020011
422022012203203100
5134314132041010
65002140524304
7534166124110
oct121206434320
931133241204
1010906908880
11469773608a
122144850694
13104a86274a
1475679b040
1543c801a8a
hex28a1a38d0

10906908880 has 40 divisors (see below), whose sum is σ = 28981216512. Its totient is φ = 3739511424.

The previous prime is 10906908869. The next prime is 10906908889. The reversal of 10906908880 is 8880960901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×109069088802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10906908889) 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 7 ways as a sum of consecutive naturals, for example, 9737752 + ... + 9738871.

Almost surely, 210906908880 is an apocalyptic number.

10906908880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10906908880 is an abundant number, since it is smaller than the sum of its proper divisors (18074307632).

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

10906908880 is a wasteful number, since it uses less digits than its factorization.

10906908880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19476643 (or 19476637 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 49.

The spelling of 10906908880 in words is "ten billion, nine hundred six million, nine hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 19476623 38953246 77906492 97383115 136336361 155812984 194766230 272672722 311625968 389532460 545345444 681681805 779064920 1090690888 1363363610 1558129840 2181381776 2726727220 5453454440 10906908880