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20010842470080 = 26325711292730829
BaseRepresentation
bin1001000110011001000110…
…01010000011011011000000
32121212000111000111001110200
410203030203022003123000
510110324201133020310
6110320504253525200
74133510221343550
oct443144312033300
977760430431420
1020010842470080
116415606990310
1222b229a7a3800
13b220256a3cc7
144d275c243160
1524a7dbba99c0
hex1233232836c0

20010842470080 has 672 divisors, whose sum is σ = 85844831754240. Its totient is φ = 4156541706240.

The previous prime is 20010842470057. The next prime is 20010842470103. The reversal of 20010842470080 is 8007424801002.

20010842470080 is a `hidden beast` number, since 2 + 0 + 0 + 108 + 4 + 2 + 470 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (20010842470057) and next prime (20010842470103).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×200108424700803 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 649076106 + ... + 649106934.

Almost surely, 220010842470080 is an apocalyptic number.

20010842470080 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 20010842470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42922415877120).

20010842470080 is an abundant number, since it is smaller than the sum of its proper divisors (65833989284160).

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

20010842470080 is a wasteful number, since it uses less digits than its factorization.

20010842470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33797 (or 33784 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 20010842470080 in words is "twenty trillion, ten billion, eight hundred forty-two million, four hundred seventy thousand, eighty".