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22140001416064 = 27782729878867
BaseRepresentation
bin1010000100010110111101…
…11010110111001110000000
32220101120012202200011211211
411002023132322313032000
510400220210330303224
6115030550511215504
74443363605644510
oct502133672671600
986346182604754
1022140001416064
117066581679964
122596a69817594
13c47a407b47ac
145678205c7840
15285da3c64894
hex1422deeb7380

22140001416064 has 64 divisors (see below), whose sum is σ = 50468993516160. Its totient is φ = 9477098233344.

The previous prime is 22140001416031. The next prime is 22140001416089. The reversal of 22140001416064 is 46061410004122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14198442 + ... + 15680425.

It is an arithmetic number, because the mean of its divisors is an integer number (788578023690).

Almost surely, 222140001416064 is an apocalyptic number.

It is an amenable number.

22140001416064 is an abundant number, since it is smaller than the sum of its proper divisors (28328992100096).

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

22140001416064 is an equidigital number, since it uses as much as digits as its factorization.

22140001416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29879715 (or 29879703 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 22140001416064 in words is "twenty-two trillion, one hundred forty billion, one million, four hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 827 896 1654 3308 5789 6616 11578 13232 23156 26464 46312 52928 92624 105856 185248 370496 740992 29878867 59757734 119515468 209152069 239030936 418304138 478061872 836608276 956123744 1673216552 1912247488 3346433104 3824494976 6692866208 13385732416 24709823009 26771464832 49419646018 98839292036 172968761063 197678584072 345937522126 395357168144 691875044252 790714336288 1383750088504 1581428672576 2767500177008 3162857345152 5535000354016 11070000708032 22140001416064