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11382897157380 = 223257223389144247
BaseRepresentation
bin1010010110100100100110…
…0010101010010100000100
31111022012020200012121211200
42211221021202222110010
52442444133133014010
640113121502302500
72253246542261400
oct245511142522404
944265220177750
1011382897157380
11369950676a531
12133a0b9287a30
13647530671678
142b4d14128100
1514b166863cc0
hexa5a498aa504

11382897157380 has 432 divisors, whose sum is σ = 42019719356160. Its totient is φ = 2482268253696.

The previous prime is 11382897157369. The next prime is 11382897157409. The reversal of 11382897157380 is 8375179828311.

11382897157380 is a `hidden beast` number, since 1 + 1 + 38 + 28 + 9 + 7 + 1 + 573 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 78840417 + ... + 78984663.

It is an arithmetic number, because the mean of its divisors is an integer number (97267868880).

Almost surely, 211382897157380 is an apocalyptic number.

11382897157380 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 11382897157380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21009859678080).

11382897157380 is an abundant number, since it is smaller than the sum of its proper divisors (30636822198780).

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

11382897157380 is a wasteful number, since it uses less digits than its factorization.

11382897157380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144688 (or 144676 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 11382897157380 in words is "eleven trillion, three hundred eighty-two billion, eight hundred ninety-seven million, one hundred fifty-seven thousand, three hundred eighty".