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20723739840 = 263551761257
BaseRepresentation
bin10011010011001110…
…110010110011000000
31222111021101001200000
4103103032302303000
5314420234133330
613304221400000
71332360611406
oct232316626300
958437331600
1020723739840
118875013521
124024409000
131c5360976b
14100847d476
1581457c560
hex4d33b2cc0

20723739840 has 672 divisors, whose sum is σ = 79862013504. Its totient is φ = 5096079360.

The previous prime is 20723739833. The next prime is 20723739871. The reversal of 20723739840 is 4893732702.

20723739840 is a `hidden beast` number, since 20 + 7 + 237 + 398 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80636992 + ... + 80637248.

It is an arithmetic number, because the mean of its divisors is an integer number (118842282).

Almost surely, 220723739840 is an apocalyptic number.

20723739840 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 20723739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39931006752).

20723739840 is an abundant number, since it is smaller than the sum of its proper divisors (59138273664).

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

20723739840 is a wasteful number, since it uses less digits than its factorization.

20723739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 20723739840 in words is "twenty billion, seven hundred twenty-three million, seven hundred thirty-nine thousand, eight hundred forty".