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3705473680 = 245176913943
BaseRepresentation
bin1101110011011101…
…0000101010010000
3100120020111120021221
43130313100222100
530042100124210
61411405054424
7160553002156
oct33467205220
910506446257
103705473680
111631709247
12874b57414
134708bc19c
142721a73d6
1516a4981da
hexdcdd0a90

3705473680 has 80 divisors (see below), whose sum is σ = 9137522304. Its totient is φ = 1392629760.

The previous prime is 3705473657. The next prime is 3705473693. The reversal of 3705473680 is 863745073.

It is a tau number, because it is divible by the number of its divisors (80).

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, 937789 + ... + 941731.

Almost surely, 23705473680 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 3705473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568761152).

3705473680 is an abundant number, since it is smaller than the sum of its proper divisors (5432048624).

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

3705473680 is a wasteful number, since it uses less digits than its factorization.

3705473680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The square root of 3705473680 is about 60872.6020472265. The cubic root of 3705473680 is about 1547.4427036864.

The spelling of 3705473680 in words is "three billion, seven hundred five million, four hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 691 1360 1382 2764 3455 3943 5528 6910 7886 11056 11747 13820 15772 19715 23494 27640 31544 39430 46988 55280 58735 63088 67031 78860 93976 117470 134062 157720 187952 234940 268124 315440 335155 469880 536248 670310 939760 1072496 1340620 2681240 2724613 5362480 5449226 10898452 13623065 21796904 27246130 43593808 46318421 54492260 92636842 108984520 185273684 217969040 231592105 370547368 463184210 741094736 926368420 1852736840 3705473680