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36487112256 = 2634723792
BaseRepresentation
bin100001111110110011…
…010010011001000000
310111011211221100110000
4201332303102121000
51044211200043011
624432325240000
72431120223400
oct417663223100
9114154840400
1036487112256
1114524029531
1270a3563000
133596352b6a
141aa1c16800
15e383d1356
hex87ecd2640

36487112256 has 315 divisors, whose sum is σ = 126150730299. Its totient is φ = 10397382912.

The previous prime is 36487112227. The next prime is 36487112269. The reversal of 36487112256 is 65221178463.

The square root of 36487112256 is 191016.

It is a perfect power (a square), and thus also a powerful number.

36487112256 is a `hidden beast` number, since 3 + 6 + 487 + 112 + 2 + 56 = 666.

It is a super-3 number, since 3×364871122563 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 96271875 + ... + 96272253.

Almost surely, 236487112256 is an apocalyptic number.

36487112256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36487112256 is the 191016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36487112256

36487112256 is an abundant number, since it is smaller than the sum of its proper divisors (89663618043).

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

36487112256 is an frugal number, since it uses more digits than its factorization.

36487112256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 391 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 36487112256 in words is "thirty-six billion, four hundred eighty-seven million, one hundred twelve thousand, two hundred fifty-six".