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525413447472507 = 311267409106149783
BaseRepresentation
bin111011101110111000101100…
…1111001011001010101111011
32112220100000221112112000211120
41313131301121321121111323
51022331333220023110012
65101243334450400323
7215445604013332116
oct16735613171312573
92486300845460746
10525413447472507
1114245a656663900
124ab187905900a3
1319723377372129
1493a620a18d57d
1540b232224058c
hex1dddc59e5957b

525413447472507 has 96 divisors (see below), whose sum is σ = 784185317153280. Its totient is φ = 312611525107200.

The previous prime is 525413447472449. The next prime is 525413447472517. The reversal of 525413447472507 is 705274744314525.

It is not a de Polignac number, because 525413447472507 - 212 = 525413447468411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (525413447472517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10554048738 + ... + 10554098520.

It is an arithmetic number, because the mean of its divisors is an integer number (8168597053680).

Almost surely, 2525413447472507 is an apocalyptic number.

525413447472507 is a deficient number, since it is larger than the sum of its proper divisors (258771869680773).

525413447472507 is a wasteful number, since it uses less digits than its factorization.

525413447472507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51345 (or 51334 counting only the distinct ones).

The product of its (nonzero) digits is 131712000, while the sum is 60.

The spelling of 525413447472507 in words is "five hundred twenty-five trillion, four hundred thirteen billion, four hundred forty-seven million, four hundred seventy-two thousand, five hundred seven".

Divisors: 1 3 11 33 67 121 201 363 409 737 1061 1227 2211 3183 4499 8107 11671 13497 24321 27403 35013 49489 49783 71087 82209 128381 148467 149349 213261 301433 385143 433949 547613 781957 904299 1301847 1642839 2345871 3315763 3335461 4773439 6023743 8601527 9947289 10006383 14320317 18071229 20361247 25804581 29074583 36690071 52507829 52819763 61083741 87223749 110070213 157523487 158459289 223973717 319820413 403590781 581017393 671921151 959461239 1210772343 1364203549 1743052179 2463710887 3518024543 3538924121 4092610647 6391191323 7391132661 10554073629 10616772363 15006239039 19173573969 21603283067 38928165331 45018717117 64809849201 116784495993 165068629429 237636113737 428209818641 495205888287 712908341211 1284629455923 1447419965489 2613997251107 4342259896467 7841991753321 15921619620379 47764858861137 175137815824169 525413447472507