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20854168632 = 23351123109389
BaseRepresentation
bin10011011011000000…
…010101110000111000
31222211100210112100000
4103123000111300320
5320202131344012
613325201113000
71335533336313
oct233300256070
958740715300
1020854168632
1189316a8610
124060028760
131c7464546b
14101b91197a
15820c42ddc
hex4db015c38

20854168632 has 384 divisors, whose sum is σ = 67459392000. Its totient is φ = 5973834240.

The previous prime is 20854168631. The next prime is 20854168669. The reversal of 20854168632 is 23686145802.

20854168632 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 4 + 1 + 6 + 8 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20854168631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53609494 + ... + 53609882.

It is an arithmetic number, because the mean of its divisors is an integer number (175675500).

Almost surely, 220854168632 is an apocalyptic number.

20854168632 is a gapful number since it is divisible by the number (22) 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 20854168632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33729696000).

20854168632 is an abundant number, since it is smaller than the sum of its proper divisors (46605223368).

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

20854168632 is a wasteful number, since it uses less digits than its factorization.

20854168632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20854168632 in words is "twenty billion, eight hundred fifty-four million, one hundred sixty-eight thousand, six hundred thirty-two".