Search a number
-
+
20958556632 = 23313219312283
BaseRepresentation
bin10011100001001110…
…100011000111011000
32000002122012222202020
4103201032203013120
5320410342303012
613343410334440
71341241535436
oct234116430730
960078188666
1020958556632
118985616892
12408ab8a420
131c90164300
14102b725d56
15829eb2a8c
hex4e13a31d8

20958556632 has 288 divisors, whose sum is σ = 61929835200. Its totient is φ = 5891408640.

The previous prime is 20958556603. The next prime is 20958556667. The reversal of 20958556632 is 23665585902.

It is a super-2 number, since 2×209585566322 (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 71 ways as a sum of consecutive naturals, for example, 74058363 + ... + 74058645.

It is an arithmetic number, because the mean of its divisors is an integer number (215034150).

Almost surely, 220958556632 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 20958556632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30964917600).

20958556632 is an abundant number, since it is smaller than the sum of its proper divisors (40971278568).

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

20958556632 is a wasteful number, since it uses less digits than its factorization.

20958556632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 20958556632 in words is "twenty billion, nine hundred fifty-eight million, five hundred fifty-six thousand, six hundred thirty-two".