Search a number
-
+
21372774728193 = 327829859476401
BaseRepresentation
bin1001101110000001111001…
…01001010100001000000001
32210200012212102022012021100
410313000330221110020001
510300132420312300233
6113242303412445013
74334063165464440
oct467007451241001
983605772265240
1021372774728193
1168a0163168699
12249222b019769
13bc05a0644c05
1453c63ab44d57
15270e4ccb3813
hex13703ca54201

21372774728193 has 48 divisors (see below), whose sum is σ = 35365797750400. Its totient is φ = 12184055769600.

The previous prime is 21372774728191. The next prime is 21372774728267. The reversal of 21372774728193 is 39182747727312.

21372774728193 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 2 + 77 + 472 + 8 + 1 + 93 = 666.

It is not a de Polignac number, because 21372774728193 - 21 = 21372774728191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21372774728193.

It is not an unprimeable number, because it can be changed into a prime (21372774728191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44624793 + ... + 45101193.

Almost surely, 221372774728193 is an apocalyptic number.

It is an amenable number.

21372774728193 is a deficient number, since it is larger than the sum of its proper divisors (13993023022207).

21372774728193 is a wasteful number, since it uses less digits than its factorization.

21372774728193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478102 (or 478099 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 63.

The spelling of 21372774728193 in words is "twenty-one trillion, three hundred seventy-two billion, seven hundred seventy-four million, seven hundred twenty-eight thousand, one hundred ninety-three".

Divisors: 1 3 7 9 21 63 829 859 2487 2577 5803 6013 7461 7731 17409 18039 52227 54117 476401 712111 1429203 2136333 3334807 4287609 4984777 6408999 10004421 14954331 30013263 44862993 394936429 409228459 1184809287 1227685377 2764555003 2864599213 3554427861 3683056131 8293665009 8593797639 24880995027 25781392917 339250392511 1017751177533 2374752747577 3053253532599 7124258242731 21372774728193