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252005320435232 = 2573131766128339
BaseRepresentation
bin111001010011001010001111…
…100110110010011000100000
31020001021110210001222021202002
4321103022033212302120200
5231012323344012411412
62251545351311143132
7104036532523352000
oct7123121746623040
91201243701867662
10252005320435232
1173329946690a31
122432039bb14aa8
13aa7cccc5a9140
1446331a0552000
151e20383d2bdc2
hexe5328f9b2620

252005320435232 has 96 divisors (see below), whose sum is σ = 623090078352000. Its totient is φ = 99694412423424.

The previous prime is 252005320435229. The next prime is 252005320435291. The reversal of 252005320435232 is 232534023500252.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882921482 + ... + 883206857.

It is an arithmetic number, because the mean of its divisors is an integer number (6490521649500).

Almost surely, 2252005320435232 is an apocalyptic number.

It is an amenable number.

252005320435232 is an abundant number, since it is smaller than the sum of its proper divisors (371084757916768).

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

252005320435232 is a wasteful number, since it uses less digits than its factorization.

252005320435232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766128383 (or 1766128361 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 38.

Adding to 252005320435232 its reverse (232534023500252), we get a palindrome (484539343935484).

The spelling of 252005320435232 in words is "two hundred fifty-two trillion, five billion, three hundred twenty million, four hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 343 364 392 416 637 686 728 784 1274 1372 1456 1568 2548 2744 2912 4459 5096 5488 8918 10192 10976 17836 20384 35672 71344 142688 1766128339 3532256678 7064513356 12362898373 14129026712 22959668407 24725796746 28258053424 45919336814 49451593492 56516106848 86540288611 91838673628 98903186984 160717678849 173080577222 183677347256 197806373968 321435357698 346161154444 367354694512 395612747936 605782020277 642870715396 692322308888 734709389024 1125023751943 1211564040554 1285741430792 1384644617776 2250047503886 2423128081108 2571482861584 2769289235552 4500095007772 4846256162216 5142965723168 7875166263601 9000190015544 9692512324432 15750332527202 18000380031088 19385024648864 31500665054404 36000760062176 63001330108808 126002660217616 252005320435232