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3673056780 = 223553532141
BaseRepresentation
bin1101101011101110…
…0110011000001100
3100110222111121200000
43122323212120030
530010300304110
61404250204300
7160010316231
oct33273463014
910428447600
103673056780
111615387a18
12866123690
13466c7c0a3
1426bb69788
151676e31c0
hexdaee660c

3673056780 has 144 divisors (see below), whose sum is σ = 11592401184. Its totient is φ = 976250880.

The previous prime is 3673056769. The next prime is 3673056787. The reversal of 3673056780 is 876503763.

3673056780 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 0 + 567 + 80 = 666.

It is a super-2 number, since 2×36730567802 = 26982692218207936800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3673056787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714510 + ... + 1716650.

It is an arithmetic number, because the mean of its divisors is an integer number (80502786).

Almost surely, 23673056780 is an apocalyptic number.

3673056780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3673056780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796200592).

3673056780 is an abundant number, since it is smaller than the sum of its proper divisors (7919344404).

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

3673056780 is a wasteful number, since it uses less digits than its factorization.

3673056780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3673056780 is about 60605.7487372279. The cubic root of 3673056780 is about 1542.9169401427.

The spelling of 3673056780 in words is "three billion, six hundred seventy-three million, fifty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 353 405 486 540 706 810 972 1059 1215 1412 1620 1765 2118 2141 2430 3177 3530 4236 4282 4860 5295 6354 6423 7060 8564 9531 10590 10705 12708 12846 15885 19062 19269 21180 21410 25692 28593 31770 32115 38124 38538 42820 47655 57186 57807 63540 64230 77076 85779 95310 96345 114372 115614 128460 142965 171558 173421 190620 192690 231228 285930 289035 343116 346842 385380 428895 520263 571860 578070 693684 755773 857790 867105 1040526 1156140 1511546 1715580 1734210 2081052 2267319 2601315 3023092 3468420 3778865 4534638 5202630 6801957 7557730 9069276 10405260 11336595 13603914 15115460 20405871 22673190 27207828 34009785 40811742 45346380 61217613 68019570 81623484 102029355 122435226 136039140 183652839 204058710 244870452 306088065 367305678 408117420 612176130 734611356 918264195 1224352260 1836528390 3673056780