Search a number
-
+
21835429654077 = 3213238279811661
BaseRepresentation
bin1001111011011111101010…
…00001110010111000111101
32212022110001122011120122200
410331233311001302320331
510330222424442412302
6114235020301302113
74412362205456034
oct475576501627075
985273048146580
1021835429654077
116a59398878176
122547a29264939
13c250c27748a0
14556baa21971b
1527ceca03e81c
hex13dbf5072e3d

21835429654077 has 48 divisors (see below), whose sum is σ = 35485877202048. Its totient is φ = 12837418957440.

The previous prime is 21835429654063. The next prime is 21835429654127. The reversal of 21835429654077 is 77045692453812.

It is a happy number.

21835429654077 is a `hidden beast` number, since 2 + 1 + 83 + 5 + 4 + 2 + 9 + 6 + 540 + 7 + 7 = 666.

It is not a de Polignac number, because 21835429654077 - 215 = 21835429621309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21835429654277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2680374 + ... + 7131287.

It is an arithmetic number, because the mean of its divisors is an integer number (739289108376).

It is a 1-persistent number, because it is pandigital, but 2⋅21835429654077 = 43670859308154 is not.

Almost surely, 221835429654077 is an apocalyptic number.

It is an amenable number.

21835429654077 is a deficient number, since it is larger than the sum of its proper divisors (13650447547971).

21835429654077 is a wasteful number, since it uses less digits than its factorization.

21835429654077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9812530 (or 9812527 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 21835429654077 in words is "twenty-one trillion, eight hundred thirty-five billion, four hundred twenty-nine million, six hundred fifty-four thousand, seventy-seven".

Divisors: 1 3 9 13 23 39 69 117 207 299 827 897 2481 2691 7443 10751 19021 32253 57063 96759 171189 247273 741819 2225457 9811661 29434983 88304949 127551593 225668203 382654779 677004609 1147964337 2031013827 2933686639 8114243647 8801059917 24342730941 26403179751 73028192823 105485167411 186627603881 316455502233 559882811643 949366506699 1679648434929 2426158850453 7278476551359 21835429654077