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5321820352 = 261719435987
BaseRepresentation
bin1001111010011010…
…01000100011000000
3111201212221111002111
410331031020203000
541344341222402
62240025025104
7245610504142
oct47515104300
914655844074
105321820352
112291035442
121046325194
1366a729534
14386b14c92
152123259d7
hex13d3488c0

5321820352 has 112 divisors (see below), whose sum is σ = 12045939840. Its totient is φ = 2317012992.

The previous prime is 5321820337. The next prime is 5321820359. The reversal of 5321820352 is 2530281235.

It is a super-2 number, since 2×53218203522 = 56643543717922807808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5321820359) 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, 885903 + ... + 891889.

Almost surely, 25321820352 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 5321820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022969920).

5321820352 is an abundant number, since it is smaller than the sum of its proper divisors (6724119488).

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

5321820352 is a wasteful number, since it uses less digits than its factorization.

5321820352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 5321820352 is about 72950.8077542668. The cubic root of 5321820352 is about 1745.9028343133.

The spelling of 5321820352 in words is "five billion, three hundred twenty-one million, eight hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 43 64 68 76 86 136 152 172 272 304 323 344 544 608 646 688 731 817 1088 1216 1292 1376 1462 1634 2584 2752 2924 3268 5168 5848 5987 6536 10336 11696 11974 13072 13889 20672 23392 23948 26144 27778 46784 47896 52288 55556 95792 101779 111112 113753 191584 203558 222224 227506 257441 383168 407116 444448 455012 514882 814232 888896 910024 1029764 1628464 1820048 1933801 2059528 3256928 3640096 3867602 4119056 4376497 4891379 6513856 7280192 7735204 8238112 8752994 9782758 15470408 16476224 17505988 19565516 30940816 35011976 39131032 61881632 70023952 78262064 83153443 123763264 140047904 156524128 166306886 280095808 313048256 332613772 665227544 1330455088 2660910176 5321820352