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11274919400 = 2352149378353
BaseRepresentation
bin10101000000000100…
…11001110111101000
31002002202202020202102
422200002121313220
5141042334410100
65102444352532
7546255143063
oct124002316750
932082666672
1011274919400
114866441908
122227b45748
1310a8b83654
1478d5d58da
1545ec96cd5
hex2a0099de8

11274919400 has 48 divisors (see below), whose sum is σ = 26390191500. Its totient is φ = 4479687680.

The previous prime is 11274919363. The next prime is 11274919429. The reversal of 11274919400 is 491947211.

It can be written as a sum of positive squares in 6 ways, for example, as 3012472996 + 8262446404 = 54886^2 + 90898^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159377 + ... + 218976.

Almost surely, 211274919400 is an apocalyptic number.

11274919400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11274919400 is an abundant number, since it is smaller than the sum of its proper divisors (15115272100).

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

11274919400 is a wasteful number, since it uses less digits than its factorization.

11274919400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378518 (or 378509 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 11274919400 in words is "eleven billion, two hundred seventy-four million, nine hundred nineteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 1192 1490 2980 3725 5960 7450 14900 29800 378353 756706 1513412 1891765 3026824 3783530 7567060 9458825 15134120 18917650 37835300 56374597 75670600 112749194 225498388 281872985 450996776 563745970 1127491940 1409364925 2254983880 2818729850 5637459700 11274919400