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4022878137168 = 2431119401004599
BaseRepresentation
bin111010100010100110001…
…110001110101101010000
3112020120202021221111010210
4322202212032032231100
51011402323300342133
612320030143524120
7563433445652352
oct72424616165520
915216667844123
104022878137168
111311102917750
1254b7b18b9640
1323248185aac7
14dc9cb9890d2
156e99e747763
hex3a8a638eb50

4022878137168 has 80 divisors (see below), whose sum is σ = 11933896896000. Its totient is φ = 1154893242240.

The previous prime is 4022878137167. The next prime is 4022878137227. The reversal of 4022878137168 is 8617318782204.

It is a super-3 number, since 3×40228781371683 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022878137167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200492268 + ... + 200512331.

It is an arithmetic number, because the mean of its divisors is an integer number (149173711200).

Almost surely, 24022878137168 is an apocalyptic number.

4022878137168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4022878137168 is an abundant number, since it is smaller than the sum of its proper divisors (7911018758832).

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

4022878137168 is a wasteful number, since it uses less digits than its factorization.

4022878137168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401004640 (or 401004634 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 4022878137168 in words is "four trillion, twenty-two billion, eight hundred seventy-eight million, one hundred thirty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 401004599 802009198 1203013797 1604018396 2406027594 3208036792 4411050589 4812055188 6416073584 7619087381 8822101178 9624110376 13233151767 15238174762 17644202356 19248220752 22857262143 26466303534 30476349524 35288404712 45714524286 52932607068 60952699048 70576809424 83809961191 91429048572 105865214136 121905398096 167619922382 182858097144 211730428272 251429883573 335239844764 365716194288 502859767146 670479689528 1005719534292 1340959379056 2011439068584 4022878137168