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20763714048 = 2937111723449
BaseRepresentation
bin10011010101100111…
…010010001000000000
31222121001120221222020
4103111213102020000
5320011002322143
613312210241440
71333354441320
oct232547221000
958531527866
1020763714048
118895636760
124035886280
131c5b99463c
14100d8c7280
15817d26883
hex4d59d2200

20763714048 has 640 divisors, whose sum is σ = 76366540800. Its totient is φ = 4844421120.

The previous prime is 20763714019. The next prime is 20763714061. The reversal of 20763714048 is 84041736702.

It is a super-2 number, since 2×207637140482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46244128 + ... + 46244576.

It is an arithmetic number, because the mean of its divisors is an integer number (119322720).

Almost surely, 220763714048 is an apocalyptic number.

20763714048 is a gapful number since it is divisible by the number (28) 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 20763714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38183270400).

20763714048 is an abundant number, since it is smaller than the sum of its proper divisors (55602826752).

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

20763714048 is a wasteful number, since it uses less digits than its factorization.

20763714048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 20763714048 in words is "twenty billion, seven hundred sixty-three million, seven hundred fourteen thousand, forty-eight".