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36818464531968 = 2932741131921107
BaseRepresentation
bin10000101111100011101110…
…11111111110011000000000
311211100210220002122110110100
420113301313133332120000
514311213203410010333
6210150100305402400
710520021605550220
oct1027616737763000
9154323802573410
1036818464531968
1110805694411379
1241677b9339400
131770c73c93272
149140478d0080
1543caed0bb213
hex217c777fe600

36818464531968 has 480 divisors, whose sum is σ = 124502846307840. Its totient is φ = 10254719877120.

The previous prime is 36818464531957. The next prime is 36818464531973. The reversal of 36818464531968 is 86913546481863.

36818464531968 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 84 + 6 + 4 + 531 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36818464531896 and 36818464531905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1744361671 + ... + 1744382777.

It is an arithmetic number, because the mean of its divisors is an integer number (259380929808).

Almost surely, 236818464531968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36818464531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62251423153920).

36818464531968 is an abundant number, since it is smaller than the sum of its proper divisors (87684381775872).

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

36818464531968 is a wasteful number, since it uses less digits than its factorization.

36818464531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22498 (or 22479 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 36818464531968 in words is "thirty-six trillion, eight hundred eighteen billion, four hundred sixty-four million, five hundred thirty-one thousand, nine hundred sixty-eight".