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20706609960 = 23345173167181
BaseRepresentation
bin10011010010001101…
…011100101100101000
31222110002010202220000
4103102031130230220
5314401343004320
613302410303000
71332062165151
oct232215345450
958402122800
1020706609960
1188663835a3
12401a727a60
131c4cbbc83a
1410060a0928
15812ce6c90
hex4d235cb28

20706609960 has 640 divisors, whose sum is σ = 77630192640. Its totient is φ = 4926873600.

The previous prime is 20706609949. The next prime is 20706609961. The reversal of 20706609960 is 6990660702.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20706609961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114401070 + ... + 114401250.

It is an arithmetic number, because the mean of its divisors is an integer number (121297176).

Almost surely, 220706609960 is an apocalyptic number.

20706609960 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 20706609960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38815096320).

20706609960 is an abundant number, since it is smaller than the sum of its proper divisors (56923582680).

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

20706609960 is a wasteful number, since it uses less digits than its factorization.

20706609960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 20706609960 in words is "twenty billion, seven hundred six million, six hundred nine thousand, nine hundred sixty".