Search a number
-
+
10664456253 = 31123131283379
BaseRepresentation
bin10011110111010011…
…01011000000111101
31000112020001111202020
421323221223000331
5133320100100003
64522120150353
7525163245123
oct117351530075
930466044666
1010664456253
114582897910
1220976083b9
13100c563459
147324c7913
154263add53
hex27ba6b03d

10664456253 has 64 divisors (see below), whose sum is σ = 16410746880. Its totient is φ = 6097291200.

The previous prime is 10664456233. The next prime is 10664456393. The reversal of 10664456253 is 35265446601.

It is not a de Polignac number, because 10664456253 - 29 = 10664455741 is a prime.

It is a super-2 number, since 2×106644562532 (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 (10664456213) 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 63 ways as a sum of consecutive naturals, for example, 28138218 + ... + 28138596.

It is an arithmetic number, because the mean of its divisors is an integer number (256417920).

Almost surely, 210664456253 is an apocalyptic number.

It is an amenable number.

10664456253 is a deficient number, since it is larger than the sum of its proper divisors (5746290627).

10664456253 is a wasteful number, since it uses less digits than its factorization.

10664456253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 10664456253 in words is "ten billion, six hundred sixty-four million, four hundred fifty-six thousand, two hundred fifty-three".

Divisors: 1 3 11 23 33 69 131 253 283 379 393 759 849 1137 1441 3013 3113 4169 4323 6509 8717 9039 9339 12507 19527 26151 33143 37073 49649 71599 95887 99429 107257 111219 148947 214797 287661 321771 407803 546139 852679 1141927 1179827 1223409 1638417 2466911 2558037 3425781 3539481 7400733 9379469 12561197 14050667 27136021 28138407 37683591 42152001 81408063 154557337 323165341 463672011 969496023 3554818751 10664456253