Search a number
-
+
20967029496 = 233571540787
BaseRepresentation
bin10011100001101110…
…110111101011111000
32000010020011110100000
4103201232313223320
5320420024420441
613344312113000
71341403544610
oct234156675370
960106143300
1020967029496
11898a383656
124091995760
131c91b3ca3a
14102c8cda40
1582aad82b6
hex4e1bb7af8

20967029496 has 96 divisors (see below), whose sum is σ = 67301619840. Its totient is φ = 5990575968.

The previous prime is 20967029449. The next prime is 20967029527. The reversal of 20967029496 is 69492076902.

20967029496 is a `hidden beast` number, since 209 + 67 + 0 + 294 + 96 = 666.

It is a super-3 number, since 3×209670294963 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756786 + ... + 784001.

It is an arithmetic number, because the mean of its divisors is an integer number (701058540).

Almost surely, 220967029496 is an apocalyptic number.

It is an amenable number.

20967029496 is an abundant number, since it is smaller than the sum of its proper divisors (46334590344).

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

20967029496 is a wasteful number, since it uses less digits than its factorization.

20967029496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540815 (or 1540799 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 20967029496 in words is "twenty billion, nine hundred sixty-seven million, twenty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 13608 1540787 3081574 4622361 6163148 9244722 10785509 12326296 13867083 18489444 21571018 27734166 32356527 36978888 41601249 43142036 55468332 64713054 83202498 86284072 97069581 110936664 124803747 129426108 166404996 194139162 249607494 258852216 291208743 332809992 374411241 388278324 499214988 582417486 748822482 776556648 873626229 998429976 1164834972 1497644964 1747252458 2329669944 2620878687 2995289928 3494504916 5241757374 6989009832 10483514748 20967029496