Search a number
-
+
20767400838 = 2331724779133
BaseRepresentation
bin10011010101110101…
…010110001110000110
31222121022112021022000
4103111311112032012
5320012423311323
613312421250130
71333430665062
oct232565261606
958538467260
1020767400838
118897724698
124036b63946
131c5c685782
1410101a6aa2
15818303e43
hex4d5d56386

20767400838 has 64 divisors (see below), whose sum is σ = 48889552320. Its totient is φ = 6511919616.

The previous prime is 20767400837. The next prime is 20767400851. The reversal of 20767400838 is 83800476702.

It is a happy number.

20767400838 is a `hidden beast` number, since 207 + 6 + 7 + 400 + 8 + 38 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20767400793 and 20767400802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20767400831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2269320 + ... + 2278452.

It is an arithmetic number, because the mean of its divisors is an integer number (763899255).

Almost surely, 220767400838 is an apocalyptic number.

20767400838 is an abundant number, since it is smaller than the sum of its proper divisors (28122151482).

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

20767400838 is a wasteful number, since it uses less digits than its factorization.

20767400838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638 (or 11632 counting only the distinct ones).

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

The spelling of 20767400838 in words is "twenty billion, seven hundred sixty-seven million, four hundred thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 2477 4954 7431 9133 14862 18266 22293 27399 42109 44586 54798 66879 82197 84218 126327 133758 155261 164394 246591 252654 310522 378981 465783 493182 757962 931566 1136943 1397349 2273886 2794698 4192047 8384094 22622441 45244882 67867323 135734646 203601969 384581497 407203938 610805907 769162994 1153744491 1221611814 2307488982 3461233473 6922466946 10383700419 20767400838