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4221851056434 = 2331147151223263
BaseRepresentation
bin111101011011111001111…
…011101011100100110010
3112221121100001121001202000
4331123321323223210302
51023132322332301214
612551254104034430
7614006255606034
oct75337173534462
915847301531660
104221851056434
1113885279489a0
12582281462a16
1324817114a7ab
141084a54adc54
1574c4793b809
hex3d6f9eeb932

4221851056434 has 64 divisors (see below), whose sum is σ = 10452552007680. Its totient is φ = 1252128609360.

The previous prime is 4221851056417. The next prime is 4221851056469. The reversal of 4221851056434 is 4346501581224.

4221851056434 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 8 + 51 + 0 + 564 + 34 = 666.

It is a super-3 number, since 3×42218510564343 (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4221851056434.

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, 75583714 + ... + 75639549.

It is an arithmetic number, because the mean of its divisors is an integer number (163321125120).

Almost surely, 24221851056434 is an apocalyptic number.

4221851056434 is an abundant number, since it is smaller than the sum of its proper divisors (6230700951246).

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

4221851056434 is a wasteful number, since it uses less digits than its factorization.

4221851056434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151223332 (or 151223326 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 4221851056434 in words is "four trillion, two hundred twenty-one billion, eight hundred fifty-one million, fifty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 846 1034 1269 1551 2538 3102 4653 9306 13959 27918 151223263 302446526 453669789 907339578 1361009367 1663455893 2722018734 3326911786 4083028101 4990367679 7107493361 8166056202 9980735358 14214986722 14971103037 21322480083 29942206074 42644960166 44913309111 63967440249 78182426971 89826618222 127934880498 156364853942 191902320747 234547280913 383804641494 469094561826 703641842739 1407283685478 2110925528217 4221851056434