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20361029476680 = 2335523593794073
BaseRepresentation
bin1001010000100101010111…
…11011011110000101001000
32200002111101011010011200000
410220102223323132011020
510132043342021223210
6111145421112443000
74201015201651554
oct450225373360510
980074334104600
1020361029476680
116540078368472
12234a12b6a9460
13b49062c2a709
1450569c874864
1525498534cac0
hex1284abede148

20361029476680 has 768 divisors, whose sum is σ = 73031632128000. Its totient is φ = 5090790684672.

The previous prime is 20361029476643. The next prime is 20361029476693. The reversal of 20361029476680 is 8667492016302.

20361029476680 is a `hidden beast` number, since 2 + 0 + 3 + 6 + 102 + 9 + 476 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4999023124 + ... + 4999027196.

It is an arithmetic number, because the mean of its divisors is an integer number (95093271000).

Almost surely, 220361029476680 is an apocalyptic number.

20361029476680 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 20361029476680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36515816064000).

20361029476680 is an abundant number, since it is smaller than the sum of its proper divisors (52670602651320).

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

20361029476680 is a wasteful number, since it uses less digits than its factorization.

20361029476680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 20361029476680 in words is "twenty trillion, three hundred sixty-one billion, twenty-nine million, four hundred seventy-six thousand, six hundred eighty".