Search a number
-
+
21273955830 = 234531383911
BaseRepresentation
bin10011110100000001…
…101100110111110110
32000220121200221010000
4103310001230313312
5322032113041310
613434554412130
71352121432561
oct236401546766
960817627100
1021273955830
119027658986
124158731046
1320105c435a
14105b5874d8
15847a144c0
hex4f406cdf6

21273955830 has 80 divisors (see below), whose sum is σ = 57386745504. Its totient is φ = 5654862720.

The previous prime is 21273955799. The next prime is 21273955831. The reversal of 21273955830 is 3855937212.

21273955830 is a `hidden beast` number, since 21 + 2 + 73 + 9 + 558 + 3 + 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 not an unprimeable number, because it can be changed into a prime (21273955831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 211575 + ... + 295485.

Almost surely, 221273955830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21273955830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28693372752).

21273955830 is an abundant number, since it is smaller than the sum of its proper divisors (36112789674).

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

21273955830 is a wasteful number, since it uses less digits than its factorization.

21273955830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84243 (or 84234 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 21273955830 in words is "twenty-one billion, two hundred seventy-three million, nine hundred fifty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 313 405 626 810 939 1565 1878 2817 3130 4695 5634 8451 9390 14085 16902 25353 28170 42255 50706 83911 84510 126765 167822 251733 253530 419555 503466 755199 839110 1258665 1510398 2265597 2517330 3775995 4531194 6796791 7551990 11327985 13593582 22655970 26264143 33983955 52528286 67967910 78792429 131320715 157584858 236377287 262641430 393962145 472754574 709131861 787924290 1181886435 1418263722 2127395583 2363772870 3545659305 4254791166 7091318610 10636977915 21273955830