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20469246720 = 2835134173137
BaseRepresentation
bin10011000100000011…
…111110101100000000
31221211112111110201220
4103010003332230000
5313410111343340
613223050555040
71323150504066
oct230403765400
957745443656
1020469246720
1187543a102a
123b73138a80
131c12982c10
14dc2754036
157ec05bed0
hex4c40feb00

20469246720 has 576 divisors, whose sum is σ = 73641101184. Its totient is φ = 4812963840.

The previous prime is 20469246659. The next prime is 20469246767. The reversal of 20469246720 is 2764296402.

It is a super-2 number, since 2×204692467202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149410492 + ... + 149410628.

It is an arithmetic number, because the mean of its divisors is an integer number (127849134).

Almost surely, 220469246720 is an apocalyptic number.

20469246720 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 20469246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36820550592).

20469246720 is an abundant number, since it is smaller than the sum of its proper divisors (53171854464).

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

20469246720 is a wasteful number, since it uses less digits than its factorization.

20469246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 20469246720 in words is "twenty billion, four hundred sixty-nine million, two hundred forty-six thousand, seven hundred twenty".