Search a number
-
+
5460264431510 = 257223612179153
BaseRepresentation
bin100111101110101000100…
…0111110010111110010110
3201022222220012211210222212
41033131101013302332112
51203430110143302020
615340224424353422
71102330304610200
oct117352107627626
921288805753885
105460264431510
111815759a17259
1274229b615872
13307b92b85b25
1414c3c7593770
1597079ba2cc5
hex4f7511f2f96

5460264431510 has 96 divisors (see below), whose sum is σ = 11932317323712. Its totient is φ = 1790380247040.

The previous prime is 5460264431459. The next prime is 5460264431527. The reversal of 5460264431510 is 151344620645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68944094 + ... + 69023246.

It is an arithmetic number, because the mean of its divisors is an integer number (124294972122).

Almost surely, 25460264431510 is an apocalyptic number.

5460264431510 is an abundant number, since it is smaller than the sum of its proper divisors (6472052892202).

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

5460264431510 is a wasteful number, since it uses less digits than its factorization.

5460264431510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85318 (or 85311 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 5460264431510 in words is "five trillion, four hundred sixty billion, two hundred sixty-four million, four hundred thirty-one thousand, five hundred ten".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 98 115 161 230 245 322 490 805 1127 1610 2254 5635 6121 11270 12242 30605 42847 61210 79153 85694 140783 158306 214235 281566 299929 395765 428470 554071 599858 703915 791530 985481 1108142 1407830 1499645 1820519 1970962 2770355 2999290 3641038 3878497 4927405 5540710 6898367 7756994 9102595 9854810 12743633 13796734 18205190 19392485 25487266 34491835 38784970 63718165 68983670 89205431 127436330 178410862 446027155 484495513 892054310 968991026 2422477565 3391468591 4844955130 6782937182 11143396799 16957342955 22286793598 23740280137 33914685910 47480560274 55716983995 78003777593 111433967990 118701400685 156007555186 237402801370 390018887965 546026443151 780037775930 1092052886302 2730132215755 5460264431510