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27420662500 = 225571131919
BaseRepresentation
bin11001100010011001…
…100001101011100100
32121202222210222111121
4121202121201223210
5422124142200000
620332531543324
71660336533310
oct314231415344
977688728447
1027420662500
11106a1281650
12539315ab44
13277cba7caa
141481a64b40
15aa747ab1a
hex662661ae4

27420662500 has 288 divisors, whose sum is σ = 77275054080. Its totient is φ = 8262000000.

The previous prime is 27420662461. The next prime is 27420662543. The reversal of 27420662500 is 526602472.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29837041 + ... + 29837959.

It is an arithmetic number, because the mean of its divisors is an integer number (268316160).

Almost surely, 227420662500 is an apocalyptic number.

27420662500 is a gapful number since it is divisible by the number (20) 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 27420662500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38637527040).

27420662500 is an abundant number, since it is smaller than the sum of its proper divisors (49854391580).

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

27420662500 is a wasteful number, since it uses less digits than its factorization.

27420662500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 27420662500 in words is "twenty-seven billion, four hundred twenty million, six hundred sixty-two thousand, five hundred".