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11148146780 = 22517152321529
BaseRepresentation
bin10100110000111101…
…10011100001011100
31001202221012112102012
422120132303201130
5140312411144110
65042115250352
7543155453441
oct123036634134
931687175365
1011148146780
114800924751
1221b15a99b8
131088827b74
1477a8359c8
15453aa4905
hex2987b385c

11148146780 has 48 divisors (see below), whose sum is σ = 24805660320. Its totient is φ = 4193998848.

The previous prime is 11148146777. The next prime is 11148146813. The reversal of 11148146780 is 8764184111.

11148146780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507056 + ... + 528584.

It is an arithmetic number, because the mean of its divisors is an integer number (516784590).

Almost surely, 211148146780 is an apocalyptic number.

11148146780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11148146780 is an abundant number, since it is smaller than the sum of its proper divisors (13657513540).

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

11148146780 is a wasteful number, since it uses less digits than its factorization.

11148146780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23078 (or 23076 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 41.

The spelling of 11148146780 in words is "eleven billion, one hundred forty-eight million, one hundred forty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1523 3046 6092 7615 15230 21529 25891 30460 43058 51782 86116 103564 107645 129455 215290 258910 365993 430580 517820 731986 1463972 1829965 3659930 7319860 32788667 65577334 131154668 163943335 327886670 557407339 655773340 1114814678 2229629356 2787036695 5574073390 11148146780