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11380686972 = 22347113178571
BaseRepresentation
bin10101001100101011…
…11000000001111100
31002101010202210120220
422212111320001330
5141301423440342
65121143341340
7552011146254
oct124625700174
932333683526
1011380686972
114910112626
122257451850
1310c4a66405
1479d688964
154691da5ec
hex2a657807c

11380686972 has 48 divisors (see below), whose sum is σ = 27360087552. Its totient is φ = 3679970560.

The previous prime is 11380686959. The next prime is 11380686997. The reversal of 11380686972 is 27968608311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25554 + ... + 153017.

It is an arithmetic number, because the mean of its divisors is an integer number (570001824).

Almost surely, 211380686972 is an apocalyptic number.

11380686972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11380686972 is an abundant number, since it is smaller than the sum of its proper divisors (15979400580).

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

11380686972 is a wasteful number, since it uses less digits than its factorization.

11380686972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178738 (or 178736 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 11380686972 in words is "eleven billion, three hundred eighty million, six hundred eighty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 47 94 113 141 188 226 282 339 452 564 678 1356 5311 10622 15933 21244 31866 63732 178571 357142 535713 714284 1071426 2142852 8392837 16785674 20178523 25178511 33571348 40357046 50357022 60535569 80714092 100714044 121071138 242142276 948390581 1896781162 2845171743 3793562324 5690343486 11380686972