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3723472704 = 263711232467
BaseRepresentation
bin1101110111101111…
…1010111101000000
3100121111101000022110
43131323322331000
530111202111304
61413250535320
7161161665360
oct33573727500
910544330273
103723472704
111640892176
1287ab97540
134745518b3
142747309a0
1516bd51289
hexddefaf40

3723472704 has 112 divisors (see below), whose sum is σ = 11273666048. Its totient is φ = 1062471168.

The previous prime is 3723472703. The next prime is 3723472717. The reversal of 3723472704 is 4072743273.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3723472703) 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, 1508079 + ... + 1510545.

Almost surely, 23723472704 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 3723472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636833024).

3723472704 is an abundant number, since it is smaller than the sum of its proper divisors (7550193344).

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

3723472704 is a wasteful number, since it uses less digits than its factorization.

3723472704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 39.

The square root of 3723472704 is about 61020.2646995242. The cubic root of 3723472704 is about 1549.9441816874.

The spelling of 3723472704 in words is "three billion, seven hundred twenty-three million, four hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1123 1344 2246 2467 3369 4492 4934 6738 7401 7861 8984 9868 13476 14802 15722 17269 17968 19736 23583 26952 29604 31444 34538 35936 39472 47166 51807 53904 59208 62888 69076 71872 78944 94332 103614 107808 118416 125776 138152 157888 188664 207228 215616 236832 251552 276304 377328 414456 473664 503104 552608 754656 828912 1105216 1509312 1657824 2770441 3315648 5540882 8311323 11081764 16622646 19393087 22163528 33245292 38786174 44327056 58179261 66490584 77572348 88654112 116358522 132981168 155144696 177308224 232717044 265962336 310289392 465434088 531924672 620578784 930868176 1241157568 1861736352 3723472704