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463264476306216 = 2331322431382947869
BaseRepresentation
bin110100101010101100010101…
…0100011000001101100101000
32020202021122120212202022112220
41221111120222203001230220
5441210111121413244331
64321140432402034040
7166402516405555254
oct15125305243015450
92222248525668486
10463264476306216
111246793a765a862
1243b5b913948920
1316b65863ba4490
14825819810b264
15388588b0aa296
hex1a5562a8c1b28

463264476306216 has 128 divisors (see below), whose sum is σ = 1247922876816000. Its totient is φ = 142466086499328.

The previous prime is 463264476306169. The next prime is 463264476306287. The reversal of 463264476306216 is 612603674462364.

It is a super-2 number, since 2×4632644763062162 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 463264476306216.

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, 9677731530 + ... + 9677779398.

It is an arithmetic number, because the mean of its divisors is an integer number (9749397475125).

Almost surely, 2463264476306216 is an apocalyptic number.

It is an amenable number.

463264476306216 is an abundant number, since it is smaller than the sum of its proper divisors (784658400509784).

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

463264476306216 is a wasteful number, since it uses less digits than its factorization.

463264476306216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63963 (or 63959 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 60.

The spelling of 463264476306216 in words is "four hundred sixty-three trillion, two hundred sixty-four billion, four hundred seventy-six million, three hundred six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 2243 4486 6729 8972 13458 13829 17944 26916 27658 29159 41487 47869 53832 55316 58318 82974 87477 95738 110632 116636 143607 165948 174954 179777 191476 233272 287214 331896 349908 359554 382952 539331 574428 622297 699816 719108 1078662 1148856 1244594 1438216 1866891 2157324 2489188 3733782 4314648 4978376 7467564 14935128 31018447 62036894 93055341 107370167 124073788 186110682 214740334 248147576 322110501 372221364 403239811 429480668 644221002 661980401 744442728 806479622 858961336 1209719433 1288442004 1323960802 1395812171 1612959244 1985941203 2419438866 2576884008 2647921604 2791624342 3225918488 3971882406 4187436513 4838877732 5295843208 5583248684 7943764812 8374873026 8605745213 9677755464 11166497368 15887529624 16749746052 17211490426 25817235639 33499492104 34422980852 51634471278 68845961704 103268942556 206537885112 1484822039443 2969644078886 4454466118329 5939288157772 8908932236658 11878576315544 17817864473316 19302686512759 35635728946632 38605373025518 57908059538277 77210746051036 115816119076554 154421492102072 231632238153108 463264476306216