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4021267286464 = 261964117872887
BaseRepresentation
bin111010100001000110001…
…101010100100111000000
3112020102121000211210101121
4322201012031110213000
51011341023411131324
612315202241442024
7563345515650541
oct72410615244700
915212530753347
104021267286464
11131045660477a
1254b422340314
13232285bc61cc
14dc8b7a6c4c8
156e9081035e4
hex3a8463549c0

4021267286464 has 112 divisors (see below), whose sum is σ = 8420414065920. Its totient is φ = 1900116541440.

The previous prime is 4021267286437. The next prime is 4021267286473. The reversal of 4021267286464 is 4646827621204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392886429 + ... + 1392889315.

Almost surely, 24021267286464 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 4021267286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210207032960).

4021267286464 is an abundant number, since it is smaller than the sum of its proper divisors (4399146779456).

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

4021267286464 is a wasteful number, since it uses less digits than its factorization.

4021267286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 52.

The spelling of 4021267286464 in words is "four trillion, twenty-one billion, two hundred sixty-seven million, two hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 641 1216 1282 1787 2564 2887 3574 5128 5774 7148 10256 11548 12179 14296 20512 23096 24358 28592 33953 41024 46192 48716 54853 57184 67906 92384 97432 109706 114368 135812 184768 194864 219412 271624 389728 438824 543248 779456 877648 1086496 1145467 1755296 1850567 2172992 2290934 3510592 3701134 4581868 5159069 7402268 9163736 10318138 14804536 18327472 20636276 21763873 29609072 35160773 36654944 41272552 43527746 59218144 70321546 73309888 82545104 87055492 98022311 118436288 140643092 165090208 174110984 196044622 281286184 330180416 348221968 392089244 562572368 696443936 784178488 1125144736 1392887872 1568356976 2250289472 3136713952 3306963229 6273427904 6613926458 13227852916 26455705832 52911411664 62832301351 105822823328 125664602702 211645646656 251329205404 502658410808 1005316821616 2010633643232 4021267286464