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20354697216 = 211327231727
BaseRepresentation
bin10010111101001111…
…000000100000000000
31221112112221202100200
4102331033000200000
5313141300302331
613203435445200
71320260033400
oct227517004000
957475852320
1020354697216
1186a5772317
123b408b6800
131bc5016b49
14db1456800
157e1e815e6
hex4bd3c0800

20354697216 has 432 divisors, whose sum is σ = 70689265920. Its totient is φ = 5620285440.

The previous prime is 20354697199. The next prime is 20354697229. The reversal of 20354697216 is 61279645302.

20354697216 is a `hidden beast` number, since 2 + 0 + 3 + 546 + 97 + 2 + 16 = 666.

It is a super-3 number, since 3×203546972163 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27997845 + ... + 27998571.

It is an arithmetic number, because the mean of its divisors is an integer number (163632560).

Almost surely, 220354697216 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 20354697216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35344632960).

20354697216 is an abundant number, since it is smaller than the sum of its proper divisors (50334568704).

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

20354697216 is a wasteful number, since it uses less digits than its factorization.

20354697216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 20354697216 in words is "twenty billion, three hundred fifty-four million, six hundred ninety-seven thousand, two hundred sixteen".