Search a number
-
+
10075268421 = 322994740763
BaseRepresentation
bin10010110001000100…
…00110010101000101
3222000011101122222200
421120202012111011
5131113232042141
64343431545113
7504450240261
oct113042062505
928004348880
1010075268421
114300254319
121b5222b199
13c47481cba
146b81570a1
153de7c9ab6
hex258886545

10075268421 has 24 divisors (see below), whose sum is σ = 15071266080. Its totient is φ = 6478223136.

The previous prime is 10075268417. The next prime is 10075268471. The reversal of 10075268421 is 12486257001.

10075268421 is a `hidden beast` number, since 100 + 7 + 526 + 8 + 4 + 21 = 666.

It is not a de Polignac number, because 10075268421 - 22 = 10075268417 is a prime.

It is a super-2 number, since 2×100752684212 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075268471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226786 + ... + 267548.

It is an arithmetic number, because the mean of its divisors is an integer number (627969420).

Almost surely, 210075268421 is an apocalyptic number.

It is an amenable number.

10075268421 is a deficient number, since it is larger than the sum of its proper divisors (4995997659).

10075268421 is a wasteful number, since it uses less digits than its factorization.

10075268421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41745 (or 41742 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10075268421 in words is "ten billion, seventy-five million, two hundred sixty-eight thousand, four hundred twenty-one".

Divisors: 1 3 9 29 87 261 947 2841 8523 27463 40763 82389 122289 247167 366867 1182127 3546381 10639143 38602561 115807683 347423049 1119474269 3358422807 10075268421