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5632373340 = 2233511286201
BaseRepresentation
bin1010011111011011…
…10011001001011100
3112112112022012201000
411033231303021130
543013341421330
62330521150300
7256401245346
oct51755631134
915475265630
105632373340
112430367500
12111232b390
136b9b807b9
143b6074296
1522e71b560
hex14fb7325c

5632373340 has 144 divisors (see below), whose sum is σ = 19260974880. Its totient is φ = 1365408000.

The previous prime is 5632373333. The next prime is 5632373363. The reversal of 5632373340 is 433732365.

5632373340 is a `hidden beast` number, since 563 + 23 + 7 + 33 + 40 = 666.

It is a super-2 number, since 2×56323733402 = 63447258882285511200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5632373295 and 5632373304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22240 + ... + 108440.

It is an arithmetic number, because the mean of its divisors is an integer number (133756770).

Almost surely, 25632373340 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 5632373340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9630487440).

5632373340 is an abundant number, since it is smaller than the sum of its proper divisors (13628601540).

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

5632373340 is a wasteful number, since it uses less digits than its factorization.

5632373340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86241 (or 86222 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The square root of 5632373340 is about 75049.1395020622. The cubic root of 5632373340 is about 1779.2233850682.

The spelling of 5632373340 in words is "five billion, six hundred thirty-two million, three hundred seventy-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 10890 13068 16335 21780 32670 65340 86201 172402 258603 344804 431005 517206 775809 862010 948211 1034412 1293015 1551618 1724020 1896422 2327427 2586030 2844633 3103236 3792844 3879045 4654854 4741055 5172060 5689266 7758090 8533899 9309708 9482110 10430321 11378532 11637135 14223165 15516180 17067798 18964220 20860642 23274270 25601697 28446330 31290963 34135596 41721284 42669495 46548540 51203394 52151605 56892660 62581926 85338990 93872889 102406788 104303210 125163852 128008485 156454815 170677980 187745778 208606420 256016970 281618667 312909630 375491556 469364445 512033940 563237334 625819260 938728890 1126474668 1408093335 1877457780 2816186670 5632373340