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3683121904 = 24711331797
BaseRepresentation
bin1101101110000111…
…1111101011110000
3100111200102222102101
43123201333223300
530020334400104
61405250030144
7160162006510
oct33341775360
910450388371
103683121904
111620032000
12869578354
13469094497
1426d229840
151685305a4
hexdb87faf0

3683121904 has 160 divisors (see below), whose sum is σ = 9271406592. Its totient is φ = 1386950400.

The previous prime is 3683121901. The next prime is 3683121919. The reversal of 3683121904 is 4091213863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683121901) 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, 4620834 + ... + 4621630.

Almost surely, 23683121904 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 3683121904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635703296).

3683121904 is an abundant number, since it is smaller than the sum of its proper divisors (5588284688).

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

3683121904 is a wasteful number, since it uses less digits than its factorization.

3683121904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 3683121904 is about 60688.7296291494. The cubic root of 3683121904 is about 1544.3249850605.

The spelling of 3683121904 in words is "three billion, six hundred eighty-three million, one hundred twenty-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 121 124 154 176 217 242 248 308 341 434 484 496 616 682 797 847 868 968 1232 1331 1364 1594 1694 1736 1936 2387 2662 2728 3188 3388 3472 3751 4774 5324 5456 5579 6376 6776 7502 8767 9317 9548 10648 11158 12752 13552 15004 17534 18634 19096 21296 22316 24707 26257 30008 35068 37268 38192 41261 44632 49414 52514 60016 61369 70136 74536 82522 89264 96437 98828 105028 122738 140272 149072 165044 172949 192874 197656 210056 245476 271777 288827 330088 345898 385748 395312 420112 490952 543554 577654 660176 675059 691796 771496 981904 1060807 1087108 1155308 1350118 1383592 1542992 1902439 2121614 2174216 2310616 2700236 2767184 2989547 3804878 4243228 4348432 4621232 5400472 5979094 7425649 7609756 8486456 10800944 11958188 14851298 15219512 16972912 20926829 23916376 29702596 30439024 32885017 41853658 47832752 59405192 65770034 83707316 118810384 131540068 167414632 230195119 263080136 334829264 460390238 526160272 920780476 1841560952 3683121904