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3722063856 = 243731477603
BaseRepresentation
bin1101110111011010…
…0010111111110000
3100121101201102201220
43131312202333300
530110322020411
61413200425040
7161144010060
oct33566427760
910541642656
103722063856
11164000a735
1287a618180
1347417a564
142744853a0
1516bb73b06
hexddda2ff0

3722063856 has 160 divisors (see below), whose sum is σ = 11586306048. Its totient is φ = 1007112960.

The previous prime is 3722063833. The next prime is 3722063857. The reversal of 3722063856 is 6583602273.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3722063857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485751 + ... + 493353.

Almost surely, 23722063856 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 3722063856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793153024).

3722063856 is an abundant number, since it is smaller than the sum of its proper divisors (7864242192).

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

3722063856 is a wasteful number, since it uses less digits than its factorization.

3722063856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7699 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3722063856 is about 61008.7195079523. The cubic root of 3722063856 is about 1549.7486732290.

The spelling of 3722063856 in words is "three billion, seven hundred twenty-two million, sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 47 48 56 62 84 93 94 112 124 141 168 186 188 217 248 282 329 336 372 376 434 496 564 651 658 744 752 868 987 1128 1302 1316 1457 1488 1736 1974 2256 2604 2632 2914 3472 3948 4371 5208 5264 5828 7603 7896 8742 10199 10416 11656 15206 15792 17484 20398 22809 23312 30412 30597 34968 40796 45618 53221 60824 61194 69936 81592 91236 106442 121648 122388 159663 163184 182472 212884 235693 244776 319326 357341 364944 425768 471386 489552 638652 707079 714682 851536 942772 1072023 1277304 1414158 1429364 1649851 1885544 2144046 2501387 2554608 2828316 2858728 3299702 3771088 4288092 4949553 5002774 5656632 5717456 6599404 7504161 8576184 9899106 10005548 11077571 11313264 13198808 15008322 17152368 19798212 20011096 22155142 26397616 30016644 33232713 39596424 40022192 44310284 60033288 66465426 77542997 79192848 88620568 120066576 132930852 155085994 177241136 232628991 265861704 310171988 465257982 531723408 620343976 930515964 1240687952 1861031928 3722063856