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320858805136 = 242324721312
BaseRepresentation
bin1001010101101001010…
…11001101001110010000
31010200012012110010011111
410222310223031032100
520224104323231021
6403222301423104
732116115562322
oct4526453151620
91120165403144
10320858805136
11114091481331
1252226b6aa94
132434540855c
141175b4dd612
15852da1a8e1
hex4ab4acd390

320858805136 has 135 divisors (see below), whose sum is σ = 669096450043. Its totient is φ = 149042745280.

The previous prime is 320858805121. The next prime is 320858805187. The reversal of 320858805136 is 631508858023.

It is a happy number.

The square root of 320858805136 is 566444.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 320858805136.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2449303791 + ... + 2449303921.

Almost surely, 2320858805136 is an apocalyptic number.

320858805136 is the 566444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320858805136

320858805136 is an abundant number, since it is smaller than the sum of its proper divisors (348237644907).

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

320858805136 is an equidigital number, since it uses as much as digits as its factorization.

320858805136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 320858805136 by its sum of digits (49), we get a square (15722081451664 = 39651082).

The spelling of 320858805136 in words is "three hundred twenty billion, eight hundred fifty-eight million, eight hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 47 92 94 131 184 188 262 368 376 524 529 752 1048 1058 1081 2096 2116 2162 2209 3013 4232 4324 4418 6026 6157 8464 8648 8836 12052 12314 17161 17296 17672 24104 24628 24863 34322 35344 48208 49256 49726 50807 68644 69299 98512 99452 101614 137288 138598 141611 198904 203228 274576 277196 283222 289379 394703 397808 406456 554392 566444 578758 789406 806567 812912 1108784 1132888 1157516 1168561 1578812 1613134 2265776 2315032 2337122 3157624 3226268 3257053 4630064 4674244 6315248 6452536 6514106 6655717 9078169 9348488 12905072 13028212 13311434 18156338 18551041 18696976 26056424 26622868 36312676 37102082 37908649 52112848 53245736 72625352 74204164 75817298 106491472 145250704 148408328 151634596 153081491 296816656 303269192 306162982 426673943 606538384 612325964 853347886 871898927 1224651928 1706695772 1743797854 2449303856 3413391544 3487595708 6826783088 6975191416 13950382832 20053675321 40107350642 80214701284 160429402568 320858805136