Search a number
-
+
252500264970 = 235192364130047
BaseRepresentation
bin1110101100101000110…
…0000100100000001010
3220010202011210110212120
43223022030010200022
513114110031434340
6311555204552110
724146122561002
oct3531214044012
9803664713776
10252500264970
11980a28a9338
1240b299b2636
131aa70081b15
14c3148d1002
15687c5984d0
hex3aca30480a

252500264970 has 128 divisors (see below), whose sum is σ = 666690600960. Its totient is φ = 60918865920.

The previous prime is 252500264969. The next prime is 252500264977. The reversal of 252500264970 is 79462005252.

252500264970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252500264977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8388487 + ... + 8418533.

It is an arithmetic number, because the mean of its divisors is an integer number (5208520320).

Almost surely, 2252500264970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252500264970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333345300480).

252500264970 is an abundant number, since it is smaller than the sum of its proper divisors (414190335990).

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

252500264970 is a wasteful number, since it uses less digits than its factorization.

252500264970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30740.

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 252500264970 in words is "two hundred fifty-two billion, five hundred million, two hundred sixty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 138 190 230 285 345 437 570 641 690 874 1282 1311 1923 2185 2622 3205 3846 4370 6410 6555 9615 12179 13110 14743 19230 24358 29486 30047 36537 44229 60094 60895 73074 73715 88458 90141 121790 147430 150235 180282 182685 221145 280117 300470 365370 442290 450705 560234 570893 691081 840351 901410 1141786 1382162 1400585 1680702 1712679 2073243 2801170 2854465 3425358 3455405 4146486 4201755 5708930 6910810 8403510 8563395 10366215 13130539 17126790 19260127 20732430 26261078 38520254 39391617 57780381 65652695 78783234 96300635 115560762 131305390 192601270 196958085 288901905 365942413 393916170 442982921 577803810 731884826 885965842 1097827239 1328948763 1829712065 2195654478 2214914605 2657897526 3659424130 4429829210 5489136195 6644743815 8416675499 10978272390 13289487630 16833350998 25250026497 42083377495 50500052994 84166754990 126250132485 252500264970