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20748176640 = 283257125367
BaseRepresentation
bin10011010100101100…
…000000110100000000
31222112222100120122200
4103110230000310000
5314443013123030
613310453233200
71333105406622
oct232454006400
958488316580
1020748176640
118887894224
124030632800
131c586b44c9
14100b800c12
158167a7d60
hex4d4b00d00

20748176640 has 216 divisors, whose sum is σ = 72800477568. Its totient is φ = 5454704640.

The previous prime is 20748176629. The next prime is 20748176641. The reversal of 20748176640 is 4667184702.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20748176641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805237 + ... + 830603.

It is an arithmetic number, because the mean of its divisors is an integer number (337039248).

Almost surely, 220748176640 is an apocalyptic number.

20748176640 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 20748176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36400238784).

20748176640 is an abundant number, since it is smaller than the sum of its proper divisors (52052300928).

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

20748176640 is a wasteful number, since it uses less digits than its factorization.

20748176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25465 (or 25448 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 20748176640 in words is "twenty billion, seven hundred forty-eight million, one hundred seventy-six thousand, six hundred forty".