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20642756472 = 23331324313151
BaseRepresentation
bin10011001110011001…
…110111011101111000
31222021121222200101000
4103032121313131320
5314234021201342
613252205525000
71330355351322
oct231631673570
958247880330
1020642756472
118833330518
124001273760
131c3c8c3900
14ddb7dc612
1580c3d244c
hex4ce677778

20642756472 has 192 divisors, whose sum is σ = 63539942400. Its totient is φ = 6203433600.

The previous prime is 20642756461. The next prime is 20642756503. The reversal of 20642756472 is 27465724602.

It is a happy number.

20642756472 is a `hidden beast` number, since 2 + 0 + 64 + 27 + 564 + 7 + 2 = 666.

It is a super-2 number, since 2×206427564722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563097 + ... + 1576247.

It is an arithmetic number, because the mean of its divisors is an integer number (330937200).

Almost surely, 220642756472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20642756472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31769971200).

20642756472 is an abundant number, since it is smaller than the sum of its proper divisors (42897185928).

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

20642756472 is a wasteful number, since it uses less digits than its factorization.

20642756472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13235 (or 13212 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 20642756472 in words is "twenty billion, six hundred forty-two million, seven hundred fifty-six thousand, four hundred seventy-two".