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49864516464 = 2437597334457
BaseRepresentation
bin101110011100001010…
…000010001101110000
311202201010212220011010
4232130022002031300
51304110304011324
634524001350520
73413455253010
oct563412021560
9152633786133
1049864516464
111a169246294
1297b7638440
134918984359
1425b0743c40
15146ca31829
hexb9c282370

49864516464 has 160 divisors (see below), whose sum is σ = 151769571840. Its totient is φ = 13813272576.

The previous prime is 49864516453. The next prime is 49864516529. The reversal of 49864516464 is 46461546894.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429924 + ... + 1464380.

It is an arithmetic number, because the mean of its divisors is an integer number (948559824).

Almost surely, 249864516464 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 49864516464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75884785920).

49864516464 is an abundant number, since it is smaller than the sum of its proper divisors (101905055376).

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

49864516464 is a wasteful number, since it uses less digits than its factorization.

49864516464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34607 (or 34601 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 57.

The spelling of 49864516464 in words is "forty-nine billion, eight hundred sixty-four million, five hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 73 84 112 118 146 168 177 219 236 292 336 354 413 438 472 511 584 708 826 876 944 1022 1168 1239 1416 1533 1652 1752 2044 2478 2832 3066 3304 3504 4088 4307 4956 6132 6608 8176 8614 9912 12264 12921 17228 19824 24528 25842 30149 34456 34457 51684 60298 68912 68914 90447 103368 103371 120596 137828 180894 206736 206742 241192 241199 275656 361788 413484 482384 482398 551312 723576 723597 826968 964796 1447152 1447194 1653936 1929592 2032963 2515361 2894388 3859184 4065926 5030722 5788776 6098889 7546083 8131852 10061444 11577552 12197778 14230741 15092166 16263704 17607527 20122888 24395556 28461482 30184332 32527408 35215054 40245776 42692223 48791112 52822581 56922964 60368664 70430108 85384446 97582224 105645162 113845928 120737328 140860216 148406299 170768892 211290324 227691856 281720432 296812598 341537784 422580648 445218897 593625196 683075568 845161296 890437794 1038844093 1187250392 1780875588 2077688186 2374500784 3116532279 3561751176 4155376372 6233064558 7123502352 8310752744 12466129116 16621505488 24932258232 49864516464