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525252503016 = 233314940140699
BaseRepresentation
bin1111010010010110111…
…11010010010111101000
31212012202202020210002000
413221023133102113220
532101204120044031
61041144144011000
752643150416203
oct7511337222750
91765682223060
10525252503016
111928383877aa
128596a000a60
133a6b9a92057
141b5cad3893a
15d9e2a813e6
hex7a4b7d25e8

525252503016 has 128 divisors (see below), whose sum is σ = 1472526000000. Its totient is φ = 173471155200.

The previous prime is 525252502997. The next prime is 525252503021. The reversal of 525252503016 is 610305252525.

525252503016 is a `hidden beast` number, since 5 + 252 + 52 + 50 + 301 + 6 = 666.

525252503016 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12885435 + ... + 12926133.

It is an arithmetic number, because the mean of its divisors is an integer number (11504109375).

Almost surely, 2525252503016 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 525252503016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736263000000).

525252503016 is an abundant number, since it is smaller than the sum of its proper divisors (947273496984).

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

525252503016 is a wasteful number, since it uses less digits than its factorization.

525252503016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41264 (or 41254 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 525252503016 in words is "five hundred twenty-five billion, two hundred fifty-two million, five hundred three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 216 298 401 447 596 802 894 1192 1203 1341 1604 1788 2406 2682 3208 3576 3609 4023 4812 5364 7218 8046 9624 10728 10827 14436 16092 21654 28872 32184 40699 43308 59749 81398 86616 119498 122097 162796 179247 238996 244194 325592 358494 366291 477992 488388 537741 716988 732582 976776 1075482 1098873 1433976 1465164 1613223 2150964 2197746 2930328 3226446 4301928 4395492 6064151 6452892 8790984 12128302 12905784 16320299 18192453 24256604 32640598 36384906 48513208 48960897 54577359 65281196 72769812 97921794 109154718 130562392 145539624 146882691 163732077 195843588 218309436 293765382 327464154 391687176 436618872 440648073 587530764 654928308 881296146 1175061528 1309856616 1762592292 2431724551 3525184584 4863449102 7295173653 9726898204 14590347306 19453796408 21885520959 29180694612 43771041918 58361389224 65656562877 87542083836 131313125754 175084167672 262626251508 525252503016