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5352056320 = 29513732203
BaseRepresentation
bin1001111110000000…
…11110011000000000
3111210222211122001011
410333000132120000
541430111300240
62243025050304
7246425504512
oct47700363000
914728748034
105352056320
1122a7107146
121054486994
13673a84a40
1438ab45bb2
15214ce96ea
hex13f01e600

5352056320 has 160 divisors (see below), whose sum is σ = 14015165472. Its totient is φ = 1948188672.

The previous prime is 5352056291. The next prime is 5352056329. The reversal of 5352056320 is 236502535.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5352056329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2428339 + ... + 2430541.

Almost surely, 25352056320 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 5352056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007582736).

5352056320 is an abundant number, since it is smaller than the sum of its proper divisors (8663109152).

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

5352056320 is a wasteful number, since it uses less digits than its factorization.

5352056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 5352056320 is about 73157.7495553274. The cubic root of 5352056320 is about 1749.2030461001.

Adding to 5352056320 its reverse (236502535), we get a palindrome (5588558855).

The spelling of 5352056320 in words is "five billion, three hundred fifty-two million, fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 73 80 104 128 130 146 160 208 256 260 292 320 365 416 512 520 584 640 730 832 949 1040 1168 1280 1460 1664 1898 2080 2203 2336 2560 2920 3328 3796 4160 4406 4672 4745 5840 6656 7592 8320 8812 9344 9490 11015 11680 15184 16640 17624 18688 18980 22030 23360 28639 30368 33280 35248 37376 37960 44060 46720 57278 60736 70496 75920 88120 93440 114556 121472 140992 143195 151840 160819 176240 186880 229112 242944 281984 286390 303680 321638 352480 458224 485888 563968 572780 607360 643276 704960 804095 916448 1127936 1145560 1214720 1286552 1409920 1608190 1832896 2090647 2291120 2429440 2573104 2819840 3216380 3665792 4181294 4582240 5146208 5639680 6432760 7331584 8362588 9164480 10292416 10453235 12865520 14663168 16725176 18328960 20584832 20906470 25731040 33450352 36657920 41169664 41812940 51462080 66900704 73315840 82339328 83625880 102924160 133801408 167251760 205848320 267602816 334503520 411696640 535205632 669007040 1070411264 1338014080 2676028160 5352056320