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463897953552 = 2431110940120101
BaseRepresentation
bin1101100000000100111…
…10010000010100010000
31122100101211211201210010
412300002132100110100
530100030334003202
6553040051034520
745341552354535
oct6600236202420
91570354751703
10463897953552
11169813334680
1275aa659ba40
133498c80ab07
141864a604d8c
15c10146576c
hex6c02790510

463897953552 has 160 divisors (see below), whose sum is σ = 1322698734720. Its totient is φ = 138931200000.

The previous prime is 463897953529. The next prime is 463897953583. The reversal of 463897953552 is 255359798364.

It is a super-2 number, since 2×4638979535522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23068302 + ... + 23088402.

It is an arithmetic number, because the mean of its divisors is an integer number (8266867092).

Almost surely, 2463897953552 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 463897953552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661349367360).

463897953552 is an abundant number, since it is smaller than the sum of its proper divisors (858800781168).

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

463897953552 is a wasteful number, since it uses less digits than its factorization.

463897953552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20633 (or 20627 counting only the distinct ones).

The product of its digits is 244944000, while the sum is 66.

The spelling of 463897953552 in words is "four hundred sixty-three billion, eight hundred ninety-seven million, nine hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 132 176 218 264 327 401 436 528 654 802 872 1199 1203 1308 1604 1744 2398 2406 2616 3208 3597 4411 4796 4812 5232 6416 7194 8822 9592 9624 13233 14388 17644 19184 19248 20101 26466 28776 35288 40202 43709 52932 57552 60303 70576 80404 87418 105864 120606 131127 160808 174836 211728 221111 241212 262254 321616 349672 442222 480799 482424 524508 663333 699344 884444 961598 964848 1049016 1326666 1442397 1768888 1923196 2098032 2191009 2653332 2884794 3537776 3846392 4382018 5306664 5769588 6573027 7692784 8060501 8764036 10613328 11539176 13146054 16121002 17528072 23078352 24101099 24181503 26292108 32242004 35056144 48202198 48363006 52584216 64484008 72303297 88665511 96404396 96726012 105168432 128968016 144606594 177331022 192808792 193452024 265996533 289213188 354662044 385617584 386904048 531993066 578426376 709324088 878594609 1063986132 1156852752 1418648176 1757189218 2127972264 2635783827 3514378436 4255944528 5271567654 7028756872 9664540699 10543135308 14057513744 19329081398 21086270616 28993622097 38658162796 42172541232 57987244194 77316325592 115974488388 154632651184 231948976776 463897953552