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11274998920 = 2357312793019
BaseRepresentation
bin10101000000000101…
…01101010010001000
31002002202220021211121
422200002231102020
5141042344431140
65102450205024
7546255623653
oct124002552210
932082807747
1011274998920
114866496629
122227b83774
1310a8bb08c3
1478d61689a
1545ecb064a
hex2a00ad488

11274998920 has 64 divisors (see below), whose sum is σ = 25744896000. Its totient is φ = 4443268608.

The previous prime is 11274998881. The next prime is 11274998923. The reversal of 11274998920 is 2989947211.

It is not an unprimeable number, because it can be changed into a prime (11274998923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3733171 + ... + 3736189.

It is an arithmetic number, because the mean of its divisors is an integer number (402264000).

Almost surely, 211274998920 is an apocalyptic number.

11274998920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11274998920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12872448000).

11274998920 is an abundant number, since it is smaller than the sum of its proper divisors (14469897080).

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

11274998920 is a wasteful number, since it uses less digits than its factorization.

11274998920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 11274998920 in words is "eleven billion, two hundred seventy-four million, nine hundred ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1279 1460 2558 2920 3019 5116 6038 6395 10232 12076 12790 15095 24152 25580 30190 51160 60380 93367 120760 186734 220387 373468 440774 466835 746936 881548 933670 1101935 1763096 1867340 2203870 3734680 3861301 4407740 7722602 8815480 15445204 19306505 30890408 38613010 77226020 154452040 281874973 563749946 1127499892 1409374865 2254999784 2818749730 5637499460 11274998920