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5212379792464 = 24132347109212677
BaseRepresentation
bin100101111011001101000…
…0010111100010001010000
3200110022001201011102120121
41023312122002330101100
51140344423211324324
615030311220320024
71045403426132425
oct113663202742120
920408051142517
105212379792464
11172a615562aa9
1270223b543014
132ba6aa132810
141403cdaa9d4c
15908bc9375e4
hex4bd9a0bc450

5212379792464 has 160 divisors (see below), whose sum is σ = 11696541373440. Its totient is φ = 2231485065216.

The previous prime is 5212379792447. The next prime is 5212379792471. The reversal of 5212379792464 is 4642979732125.

It is a super-2 number, since 2×52123797924642 (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 24402094 + ... + 24614770.

It is an arithmetic number, because the mean of its divisors is an integer number (73103383584).

Almost surely, 25212379792464 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 5212379792464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848270686720).

5212379792464 is an abundant number, since it is smaller than the sum of its proper divisors (6484161580976).

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

5212379792464 is a wasteful number, since it uses less digits than its factorization.

5212379792464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212877 (or 212871 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 61.

The spelling of 5212379792464 in words is "five trillion, two hundred twelve billion, three hundred seventy-nine million, seven hundred ninety-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 46 47 52 92 94 104 109 184 188 208 218 299 368 376 436 598 611 752 872 1081 1196 1222 1417 1744 2162 2392 2444 2507 2834 4324 4784 4888 5014 5123 5668 8648 9776 10028 10246 11336 14053 17296 20056 20492 22672 28106 32591 40112 40984 56212 65182 66599 81968 112424 117829 130364 133198 212677 224848 235658 260728 266396 425354 471316 521456 532792 850708 942632 1065584 1531777 1701416 1885264 2764801 3063554 3402832 4891571 5529602 6127108 9783142 9995819 11059204 12254216 19566284 19991638 22118408 23181793 24508432 39132568 39983276 44236816 46363586 63590423 78265136 79966552 92727172 127180846 129945647 159933104 185454344 229903837 254361692 259891294 301363309 370908688 459807674 508723384 519782588 533181239 602726618 919615348 1017446768 1039565176 1066362478 1089544271 1205453236 1839230696 2079130352 2132724956 2179088542 2410906472 2988749881 3678461392 4265449912 4358177084 4821812944 5977499762 6931356107 8530899824 8716354168 11954999524 13862712214 14164075523 17432708336 23909999048 25059518233 27725424428 28328151046 47819998096 50119036466 55450848856 56656302092 100238072932 110901697712 113312604184 200476145864 226625208368 325773737029 400952291728 651547474058 1303094948116 2606189896232 5212379792464