Search a number
-
+
2524212124252 = 2272132941833191
BaseRepresentation
bin100100101110110110110…
…001000101101001011100
322221022102200102220200021
4210232312301011221130
5312324041300434002
65211335042041524
7350240221020100
oct44566661055134
98838380386607
102524212124252
1189356aa35625
123492616492a4
1315405591c190
148a25b569900
15459d9553737
hex24bb6c45a5c

2524212124252 has 144 divisors (see below), whose sum is σ = 5864305245120. Its totient is φ = 940638182400.

The previous prime is 2524212124219. The next prime is 2524212124279.

2524212124252 is nontrivially palindromic in base 10.

2524212124252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2612977 + ... + 3446167.

It is an arithmetic number, because the mean of its divisors is an integer number (40724341980).

Almost surely, 22524212124252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2524212124252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932152622560).

2524212124252 is an abundant number, since it is smaller than the sum of its proper divisors (3340093120868).

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

2524212124252 is a wasteful number, since it uses less digits than its factorization.

2524212124252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833292 (or 833283 counting only the distinct ones).

The product of its digits is 51200, while the sum is 34.

The spelling of 2524212124252 in words is "two trillion, five hundred twenty-four billion, two hundred twelve million, one hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 29 41 49 52 58 82 91 98 116 164 182 196 203 287 364 377 406 533 574 637 754 812 1066 1148 1189 1274 1421 1508 2009 2132 2378 2548 2639 2842 3731 4018 4756 5278 5684 7462 8036 8323 10556 14924 15457 16646 18473 26117 30914 33292 36946 52234 58261 61828 73892 104468 108199 116522 216398 233044 432796 757393 833191 1514786 1666382 3029572 3332764 5832337 10831483 11664674 21662966 23329348 24162539 34160831 40826359 43325932 48325078 68321662 75820381 81652718 96650156 136643324 151640762 163305436 169137773 239125817 303281524 314113007 338275546 444090803 478251634 530742667 628226014 676551092 888181606 956503268 990664099 1061485334 1183964411 1256452028 1673880719 1776363212 1981328198 2122970668 2198791049 2367928822 3108635621 3347761438 3962656396 4397582098 4735857644 6217271242 6695522876 6934648693 8795164196 12434542484 12878633287 13869297386 15391537343 21760449347 25757266574 27738594772 30783074686 43520898694 48542540851 51514533148 61566149372 87041797388 90150433009 97085081702 180300866018 194170163404 360601732036 631053031063 1262106062126 2524212124252