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10914116940 = 22325292090827
BaseRepresentation
bin10100010101000100…
…00011010101001100
31001011121211120211100
422022202003111030
5134323003220230
65002555223100
7534314314626
oct121242032514
931147746740
1010914116940
1146a0809661
122147147a90
13104c1b757c
14757715c16
1543d277660
hex28a88354c

10914116940 has 72 divisors (see below), whose sum is σ = 34247762640. Its totient is φ = 2810070144.

The previous prime is 10914116869. The next prime is 10914116981. The reversal of 10914116940 is 4961141901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10914116895 and 10914116904.

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 23 ways as a sum of consecutive naturals, for example, 1040194 + ... + 1050633.

It is an arithmetic number, because the mean of its divisors is an integer number (475663370).

Almost surely, 210914116940 is an apocalyptic number.

10914116940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10914116940 is an abundant number, since it is smaller than the sum of its proper divisors (23333645700).

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

10914116940 is a wasteful number, since it uses less digits than its factorization.

10914116940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090871 (or 2090866 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 10914116940 in words is "ten billion, nine hundred fourteen million, one hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 2090827 4181654 6272481 8363308 10454135 12544962 18817443 20908270 25089924 31362405 37634886 41816540 60633983 62724810 75269772 94087215 121267966 125449620 181901949 188174430 242535932 303169915 363803898 376348860 545705847 606339830 727607796 909509745 1091411694 1212679660 1819019490 2182823388 2728529235 3638038980 5457058470 10914116940