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4213899974784 = 273472111110603
BaseRepresentation
bin111101010100100000000…
…000101101100010000000
3112220211210221020021012110
4331110200000231202000
51023020031343143114
612543501112455320
7613305240540003
oct75244000554200
915824727207173
104213899974784
111385117752635
125808226aa540
132474a4aa4656
14107d4d4db53a
157492e8a5759
hex3d52002d880

4213899974784 has 128 divisors (see below), whose sum is σ = 11436842926080. Its totient is φ = 1374083855360.

The previous prime is 4213899974783. The next prime is 4213899974813. The reversal of 4213899974784 is 4874799983124.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4213899974783) 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, 38044027 + ... + 38154629.

It is an arithmetic number, because the mean of its divisors is an integer number (89350335360).

Almost surely, 24213899974784 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 4213899974784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718421463040).

4213899974784 is an abundant number, since it is smaller than the sum of its proper divisors (7222942951296).

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

4213899974784 is a wasteful number, since it uses less digits than its factorization.

4213899974784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112778 (or 112766 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 75.

The spelling of 4213899974784 in words is "four trillion, two hundred thirteen billion, eight hundred ninety-nine million, nine hundred seventy-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2111 2256 3008 4222 4512 6016 6333 8444 9024 12666 16888 18048 25332 33776 50664 67552 99217 101328 110603 135104 198434 202656 221206 270208 297651 331809 396868 405312 442412 595302 663618 793736 810624 884824 1190604 1327236 1587472 1769648 2381208 2654472 3174944 3539296 4762416 5198341 5308944 6349888 7078592 9524832 10396682 10617888 12699776 14157184 15595023 19049664 20793364 21235776 31190046 38099328 41586728 42471552 62380092 83173456 124760184 166346912 233482933 249520368 332693824 466965866 499040736 665387648 700448799 933931732 998081472 1400897598 1867863464 1996162944 2801795196 3735726928 5603590392 7471453856 10973697851 11207180784 14942907712 21947395702 22414361568 29885815424 32921093553 43894791404 44828723136 65842187106 87789582808 89657446272 131684374212 175579165616 263368748424 351158331232 526737496848 702316662464 1053474993696 1404633324928 2106949987392 4213899974784