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36998196768 = 25331337127701
BaseRepresentation
bin100010011101010000…
…111010111000100000
310112111110122010121000
4202131100322320200
51101233014244033
624555143432000
72446564324611
oct423520727040
9115443563530
1036998196768
1114766576925
127206755600
1336481b9330
141b0da55c08
15e681d8a13
hex89d43ae20

36998196768 has 384 divisors, whose sum is σ = 120464547840. Its totient is φ = 10973491200.

The previous prime is 36998196751. The next prime is 36998196769. The reversal of 36998196768 is 86769189963.

36998196768 is a `hidden beast` number, since 369 + 9 + 8 + 196 + 76 + 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 = 36998196696 and 36998196705.

It is not an unprimeable number, because it can be changed into a prime (36998196769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52778818 + ... + 52779518.

It is an arithmetic number, because the mean of its divisors is an integer number (313709760).

Almost surely, 236998196768 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 36998196768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60232273920).

36998196768 is an abundant number, since it is smaller than the sum of its proper divisors (83466351072).

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

36998196768 is a wasteful number, since it uses less digits than its factorization.

36998196768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 883 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 36998196768 in words is "thirty-six billion, nine hundred ninety-eight million, one hundred ninety-six thousand, seven hundred sixty-eight".