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20474431895904 = 253727195364327
BaseRepresentation
bin1001010011111000100110…
…01111010111100101100000
32200111100002100202221202220
410221330103033113211200
510140423114031132104
6111313454004111040
74212141336423600
oct451742317274540
980440070687686
1020474431895904
116584181046498
1223680b9995480
13b569662b961c
1450ad79894c00
152578c0ec97d9
hex129f133d7960

20474431895904 has 288 divisors, whose sum is σ = 63468219741696. Its totient is φ = 5761304156160.

The previous prime is 20474431895891. The next prime is 20474431895941. The reversal of 20474431895904 is 40959813447402.

It is a super-2 number, since 2×204744318959042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318254589 + ... + 318318915.

It is an arithmetic number, because the mean of its divisors is an integer number (220375762992).

Almost surely, 220474431895904 is an apocalyptic number.

20474431895904 is a gapful number since it is divisible by the number (24) 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 20474431895904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31734109870848).

20474431895904 is an abundant number, since it is smaller than the sum of its proper divisors (42993787845792).

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

20474431895904 is a wasteful number, since it uses less digits than its factorization.

20474431895904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65378 (or 65363 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 20474431895904 in words is "twenty trillion, four hundred seventy-four billion, four hundred thirty-one million, eight hundred ninety-five thousand, nine hundred four".