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20475099394560 = 2932519416531747
BaseRepresentation
bin1001010011111001110110…
…00001101011001000000000
32200111101210212210101210100
410221330323001223020000
510140431000421111220
6111314044131002400
74212164023161036
oct451747301531000
980441725711710
1020475099394560
116584493907078
122368265439400
13b56a41689345
1450b0003ac556
1525790e8cbd90
hex129f3b06b200

20475099394560 has 960 divisors, whose sum is σ = 76624684456320. Its totient is φ = 5035881922560.

The previous prime is 20475099394511. The next prime is 20475099394577. The reversal of 20475099394560 is 6549399057402.

20475099394560 is a `hidden beast` number, since 2 + 0 + 47 + 50 + 9 + 93 + 9 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×204750993945602 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11720147607 + ... + 11720149353.

It is an arithmetic number, because the mean of its divisors is an integer number (79817379642).

Almost surely, 220475099394560 is an apocalyptic number.

20475099394560 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 20475099394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38312342228160).

20475099394560 is an abundant number, since it is smaller than the sum of its proper divisors (56149585061760).

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

20475099394560 is a wasteful number, since it uses less digits than its factorization.

20475099394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 20475099394560 in words is "twenty trillion, four hundred seventy-five billion, ninety-nine million, three hundred ninety-four thousand, five hundred sixty".