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5604134400216 = 23321157011241173
BaseRepresentation
bin101000110001101000001…
…1100001011000011011000
3201211202020202120110210100
41101203100130023003120
51213304231401301331
615530300453215400
71115612450302122
oct121432034130330
921752222513710
105604134400216
111870777851140
12766151331560
1331861043c721
14155354b68212
159ab9a511ae6
hex518d070b0d8

5604134400216 has 96 divisors (see below), whose sum is σ = 16560587506320. Its totient is φ = 1697923296000.

The previous prime is 5604134400149. The next prime is 5604134400217. The reversal of 5604134400216 is 6120044314065.

5604134400216 is a `hidden beast` number, since 5 + 6 + 0 + 4 + 1 + 34 + 400 + 216 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5604134400217) 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 23 ways as a sum of consecutive naturals, for example, 3894606 + ... + 5135778.

Almost surely, 25604134400216 is an apocalyptic number.

It is an amenable number.

5604134400216 is an abundant number, since it is smaller than the sum of its proper divisors (10956453106104).

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

5604134400216 is a wasteful number, since it uses less digits than its factorization.

5604134400216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246897 (or 1246890 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 5604134400216 in words is "five trillion, six hundred four billion, one hundred thirty-four million, four hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 5701 11402 17103 22804 34206 45608 51309 62711 68412 102618 125422 136824 188133 205236 250844 376266 410472 501688 564399 752532 1128798 1241173 1505064 2257596 2482346 3723519 4515192 4964692 7447038 9929384 11170557 13652903 14894076 22341114 27305806 29788152 40958709 44682228 54611612 81917418 89364456 109223224 122876127 163834836 245752254 327669672 491504508 983009016 7075927273 14151854546 21227781819 28303709092 42455563638 56607418184 63683345457 77835200003 84911127276 127366690914 155670400006 169822254552 233505600009 254733381828 311340800012 467011200018 509466763656 622681600024 700516800027 934022400036 1401033600054 1868044800072 2802067200108 5604134400216