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3924495467264 = 28435320393299
BaseRepresentation
bin111001000110111110001…
…010001000001100000000
3111220011210211121000200202
4321012332022020030000
51003244331314423024
612202515513504332
7553351441033061
oct71067612101400
914804724530622
103924495467264
11128340741a699
125347157120a8
13226103141228
14d7d37650568
156c1424d1bae
hex391be288300

3924495467264 has 144 divisors (see below), whose sum is σ = 8173563552000. Its totient is φ = 1878959566848.

The previous prime is 3924495467251. The next prime is 3924495467341. The reversal of 3924495467264 is 4627645944293.

It is a self number, because there is not a number n which added to its sum of digits gives 3924495467264.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189599887 + ... + 1189603185.

It is an arithmetic number, because the mean of its divisors is an integer number (56760858000).

Almost surely, 23924495467264 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 3924495467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086781776000).

3924495467264 is an abundant number, since it is smaller than the sum of its proper divisors (4249068084736).

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

3924495467264 is a wasteful number, since it uses less digits than its factorization.

3924495467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5436 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 65.

The spelling of 3924495467264 in words is "three trillion, nine hundred twenty-four billion, four hundred ninety-five million, four hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 53 64 86 106 128 172 212 256 344 424 688 848 1376 1696 2039 2279 2752 3299 3392 4078 4558 5504 6598 6784 8156 9116 11008 13196 13568 16312 18232 26392 32624 36464 52784 65248 72928 87677 105568 108067 130496 141857 145856 174847 175354 211136 216134 260992 283714 291712 349694 350708 422272 432268 521984 567428 583424 699388 701416 844544 864536 1134856 1398776 1402832 1729072 2269712 2797552 2805664 3458144 4539424 4646881 5595104 5611328 6726661 6916288 7518421 9078848 9293762 11190208 11222656 13453322 13832576 15036842 18157696 18587524 22380416 22445312 26906644 27665152 30073684 36315392 37175048 44760832 53813288 60147368 74350096 107626576 120294736 148700192 215253152 240589472 289246423 297400384 356513033 430506304 481178944 578492846 594800768 713026066 861012608 962357888 1156985692 1189601536 1426052132 1722025216 1924715776 2313971384 2852104264 4627942768 5704208528 9255885536 11408417056 15330060419 18511771072 22816834112 30660120838 37023542144 45633668224 61320241676 74047084288 91267336448 122640483352 245280966704 490561933408 981123866816 1962247733632 3924495467264