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5352515552 = 251731503631
BaseRepresentation
bin1001111110000100…
…01110011111100000
3111211000200221222202
410333002032133200
541430220444202
62243042552332
7246432426416
oct47702163740
914730627882
105352515552
1122a73a017a
1210546686a8
13673bb5a87
1438ac252b6
15214d8a802
hex13f08e7e0

5352515552 has 96 divisors (see below), whose sum is σ = 11558744064. Its totient is φ = 2428876800.

The previous prime is 5352515551. The next prime is 5352515591. The reversal of 5352515552 is 2555152535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5352515551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8482277 + ... + 8482907.

It is an arithmetic number, because the mean of its divisors is an integer number (120403584).

Almost surely, 25352515552 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 5352515552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779372032).

5352515552 is an abundant number, since it is smaller than the sum of its proper divisors (6206228512).

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

5352515552 is a wasteful number, since it uses less digits than its factorization.

5352515552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1184 counting only the distinct ones).

The product of its digits is 187500, while the sum is 38.

The square root of 5352515552 is about 73160.8881302025. Note that the first 3 decimals coincide. The cubic root of 5352515552 is about 1749.2530746618.

The spelling of 5352515552 in words is "five billion, three hundred fifty-two million, five hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 503 527 544 631 992 1006 1054 1262 2012 2108 2524 4024 4216 5048 8048 8432 8551 10096 10727 15593 16096 16864 17102 19561 20192 21454 31186 34204 39122 42908 62372 68408 78244 85816 124744 136816 156488 171632 249488 265081 273632 312976 317393 332537 343264 498976 530162 625952 634786 665074 1060324 1269572 1330148 2120648 2539144 2660296 4241296 5078288 5320592 5395681 8482592 9839183 10156576 10641184 10791362 19678366 21582724 39356732 43165448 78713464 86330896 157426928 167266111 172661792 314853856 334532222 669064444 1338128888 2676257776 5352515552