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3683707633980 = 22325112857651193
BaseRepresentation
bin110101100110101110000…
…101011100000100111100
3111001011021220210201121100
4311212232011130010330
5440323213123241410
611500134422533100
7530065465154163
oct65465605340474
914034256721540
103683707633980
1111a0284a1a670
124b5b16297190
132094ab78977a
14ca4144c23da
1565c4d3038c0
hex359ae15c13c

3683707633980 has 144 divisors (see below), whose sum is σ = 12194008785504. Its totient is φ = 892706088960.

The previous prime is 3683707633979. The next prime is 3683707633981. The reversal of 3683707633980 is 893367073863.

3683707633980 is a `hidden beast` number, since 36 + 83 + 70 + 76 + 3 + 398 + 0 = 666.

3683707633980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3683707633979) and next prime (3683707633981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683707633981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5331264 + ... + 5982456.

It is an arithmetic number, because the mean of its divisors is an integer number (84680616566).

Almost surely, 23683707633980 is an apocalyptic number.

3683707633980 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 3683707633980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097004392752).

3683707633980 is an abundant number, since it is smaller than the sum of its proper divisors (8510301151524).

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

3683707633980 is a wasteful number, since it uses less digits than its factorization.

3683707633980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654076 (or 654071 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 3683707633980 in words is "three trillion, six hundred eighty-three billion, seven hundred seven million, six hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2857 5714 8571 11428 14285 17142 25713 28570 31427 34284 42855 51426 57140 62854 85710 94281 102852 125708 128565 157135 171420 188562 257130 282843 314270 377124 471405 514260 565686 628540 651193 942810 1131372 1302386 1414215 1885620 1953579 2604772 2828430 3255965 3907158 5656860 5860737 6511930 7163123 7814316 9767895 11721474 13023860 14326246 19535790 21489369 23442948 28652492 29303685 35815615 39071580 42978738 58607370 64468107 71631230 85957476 107446845 117214740 128936214 143262460 214893690 257872428 322340535 429787380 644681070 1289362140 1860458401 3720916802 5581375203 7441833604 9302292005 11162750406 16744125609 18604584010 20465042411 22325500812 27906876015 33488251218 37209168020 40930084822 55813752030 61395127233 66976502436 81860169644 83720628045 102325212055 111627504060 122790254466 167441256090 184185381699 204650424110 245580508932 306975636165 334882512180 368370763398 409300848220 613951272330 736741526796 920926908495 1227902544660 1841853816990 3683707633980