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4022718376992 = 253721153741691
BaseRepresentation
bin111010100010011100101…
…100110010110000100000
3112020120100011022211101020
4322202130230302300200
51011402011401030432
612320002235405440
7563426466012300
oct72423454626040
915216304284336
104022718376992
111311030719547
1254b7682b3880
13232457722563
14dc9b467d600
156e9906db22c
hex3a89cb32c20

4022718376992 has 144 divisors (see below), whose sum is σ = 12294328126752. Its totient is φ = 1148349726720.

The previous prime is 4022718376991. The next prime is 4022718376993. The reversal of 4022718376992 is 2996738172204.

It is an interprime number because it is at equal distance from previous prime (4022718376991) and next prime (4022718376993).

It is not an unprimeable number, because it can be changed into a prime (4022718376991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5052867 + ... + 5794557.

It is an arithmetic number, because the mean of its divisors is an integer number (85377278658).

Almost surely, 24022718376992 is an apocalyptic number.

4022718376992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022718376992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147164063376).

4022718376992 is an abundant number, since it is smaller than the sum of its proper divisors (8271609749760).

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

4022718376992 is a wasteful number, since it uses less digits than its factorization.

4022718376992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742871 (or 742856 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 4022718376992 in words is "four trillion, twenty-two billion, seven hundred eighteen million, three hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1153 1176 1568 2306 2352 3459 4612 4704 6918 8071 9224 13836 16142 18448 24213 27672 32284 36896 48426 55344 56497 64568 96852 110688 112994 129136 169491 193704 225988 258272 338982 387408 451976 677964 741691 774816 903952 1355928 1483382 1807904 2225073 2711856 2966764 4450146 5191837 5423712 5933528 8900292 10383674 11867056 15575511 17800584 20767348 23734112 31151022 35601168 36342859 41534696 62302044 71202336 72685718 83069392 109028577 124604088 145371436 166138784 218057154 249208176 290742872 436114308 498416352 581485744 855169723 872228616 1162971488 1710339446 1744457232 2565509169 3420678892 3488914464 5131018338 5986188061 6841357784 10262036676 11972376122 13682715568 17958564183 20524073352 23944752244 27365431136 35917128366 41048146704 41903316427 47889504488 71834256732 82096293408 83806632854 95779008976 125709949281 143668513464 167613265708 191558017952 251419898562 287337026928 335226531416 502839797124 574674053856 670453062832 1005679594248 1340906125664 2011359188496 4022718376992