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2505143052 = 223417479677
BaseRepresentation
bin1001010101010001…
…0111001100001100
320110120212110020000
42111110113030030
520112304034202
61052325524300
7116036236026
oct22524271414
96416773200
102505143052
1110760a7065
1259ab73690
1330c010389
1419a9cd016
15e9de491c
hex9551730c

2505143052 has 120 divisors (see below), whose sum is σ = 7082437824. Its totient is φ = 769125888.

The previous prime is 2505142943. The next prime is 2505143087. The reversal of 2505143052 is 2503415052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254038 + ... + 263714.

Almost surely, 22505143052 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 2505143052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541218912).

2505143052 is an abundant number, since it is smaller than the sum of its proper divisors (4577294772).

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

2505143052 is a wasteful number, since it uses less digits than its factorization.

2505143052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9757 (or 9746 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2505143052 is about 50051.4040961889. The cubic root of 2505143052 is about 1358.1388635425.

Subtracting from 2505143052 its reverse (2503415052), we obtain a cube (1728000 = 1203).

The spelling of 2505143052 in words is "two billion, five hundred five million, one hundred forty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 47 51 54 68 81 94 102 108 141 153 162 188 204 282 306 324 423 459 564 612 799 846 918 1269 1377 1598 1692 1836 2397 2538 2754 3196 3807 4794 5076 5508 7191 7614 9588 9677 14382 15228 19354 21573 28764 29031 38708 43146 58062 64719 86292 87093 116124 129438 164509 174186 258876 261279 329018 348372 454819 493527 522558 658036 783837 909638 987054 1045116 1364457 1480581 1567674 1819276 1974108 2728914 2961162 3135348 4093371 4441743 5457828 5922324 7731923 8186742 8883486 12280113 13325229 15463846 16373484 17766972 23195769 24560226 26650458 30927692 36840339 46391538 49120452 53300916 69587307 73680678 92783076 139174614 147361356 208761921 278349228 417523842 626285763 835047684 1252571526 2505143052