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4274663473044 = 2235171163222437
BaseRepresentation
bin111110001101000101110…
…011000011111110010100
3120010122122122110210200000
4332031011303003332110
51030014002322114134
613031430413251300
7620556101003106
oct76150563037624
916118578423600
104274663473044
1113a89690aa198
12590560193b30
13250139774253
1410ac75537576
15762d916ee99
hex3e345cc3f94

4274663473044 has 144 divisors (see below), whose sum is σ = 11875007446848. Its totient is φ = 1339911756288.

The previous prime is 4274663473033. The next prime is 4274663473079. The reversal of 4274663473044 is 4403743664724.

4274663473044 is a `hidden beast` number, since 4 + 2 + 74 + 6 + 63 + 473 + 0 + 44 = 666.

It is a super-2 number, since 2×42746634730442 (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19106194 + ... + 19328630.

It is an arithmetic number, because the mean of its divisors is an integer number (82465329492).

Almost surely, 24274663473044 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 4274663473044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937503723424).

4274663473044 is an abundant number, since it is smaller than the sum of its proper divisors (7600343973804).

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

4274663473044 is a wasteful number, since it uses less digits than its factorization.

4274663473044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223636 (or 223622 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 54.

The spelling of 4274663473044 in words is "four trillion, two hundred seventy-four billion, six hundred sixty-three million, four hundred seventy-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1163 1377 1836 2326 2754 3489 4131 4652 5508 6978 8262 10467 13956 16524 19771 20934 31401 39542 41868 59313 62802 79084 94203 118626 125604 177939 188406 222437 237252 282609 355878 376812 444874 533817 565218 667311 711756 889748 1067634 1130436 1334622 1601451 2001933 2135268 2669244 3202902 3781429 4003866 4804353 6005799 6405804 7562858 8007732 9608706 11344287 12011598 15125716 18017397 19217412 22688574 24023196 34032861 36034794 45377148 54052191 68065722 72069588 102098583 108104382 136131444 204197166 216208764 258694231 306295749 408394332 517388462 612591498 776082693 918887247 1034776924 1225182996 1552165386 1837774494 2328248079 3104330772 3675548988 4397801927 4656496158 6984744237 8795603854 9312992316 13193405781 13969488474 17591207708 20954232711 26386811562 27938976948 39580217343 41908465422 52773623124 62862698133 79160434686 83816930844 118740652029 125725396266 158320869372 237481304058 251450792532 356221956087 474962608116 712443912174 1068665868261 1424887824348 2137331736522 4274663473044