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4076945880012 = 2233192432431843
BaseRepresentation
bin111011010100111100111…
…010010011001111001100
3112102202022100221101221000
4323110330322103033030
51013244041121130022
612400531215140300
7600356343124605
oct73247472231714
915382270841830
104076945880012
111332028733145
1255a180b14690
132375ba27a555
1410147a624dac
15710b62946ac
hex3b53ce933cc

4076945880012 has 144 divisors (see below), whose sum is σ = 11414881188480. Its totient is φ = 1257515225568.

The previous prime is 4076945879989. The next prime is 4076945880017. The reversal of 4076945880012 is 2100885496704.

It is a happy number.

4076945880012 is a `hidden beast` number, since 40 + 7 + 6 + 9 + 4 + 588 + 0 + 0 + 12 = 666.

It is a super-2 number, since 2×40769458800122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4076945880017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460563 + ... + 2892405.

Almost surely, 24076945880012 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 4076945880012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707440594240).

4076945880012 is an abundant number, since it is smaller than the sum of its proper divisors (7337935308468).

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

4076945880012 is a wasteful number, since it uses less digits than its factorization.

4076945880012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431937 (or 2431910 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 4076945880012 in words is "four trillion, seventy-six billion, nine hundred forty-five million, eight hundred eighty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 43 54 57 76 86 108 114 129 171 172 228 258 342 361 387 513 516 684 722 774 817 1026 1083 1161 1444 1548 1634 2052 2166 2322 2451 3249 3268 4332 4644 4902 6498 7353 9747 9804 12996 14706 15523 19494 22059 29412 31046 38988 44118 46569 62092 88236 93138 139707 186276 279414 419121 558828 838242 1676484 2431843 4863686 7295529 9727372 14591058 21886587 29182116 43773174 46205017 65659761 87546348 92410034 104569249 131319522 138615051 184820068 209138498 262639044 277230102 313707747 415845153 418276996 554460204 627415494 831690306 877895323 941123241 1247535459 1254830988 1663380612 1755790646 1882246482 1986815731 2495070918 2633685969 2823369723 3511581292 3764492964 3973631462 4990141836 5267371938 5646739446 5960447193 7901057907 7947262924 10534743876 11293478892 11920894386 15802115814 17881341579 23703173721 23841788772 31604231628 35762683158 37749498889 47406347442 53644024737 71525366316 75498997778 94812694884 107288049474 113248496667 150997995556 214576098948 226496993334 339745490001 452993986668 679490980002 1019236470003 1358981960004 2038472940006 4076945880012