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3656141364 = 2232331569751
BaseRepresentation
bin1101100111101100…
…0100101000110100
3100102210200020002010
43121323010220310
524441433010424
61402443444220
7156413455161
oct33173045064
910383606063
103656141364
111606884137
12860526670
13463608975
14269805068
15165ea1229
hexd9ec4a34

3656141364 has 96 divisors (see below), whose sum is σ = 9217474560. Its totient is φ = 1124640000.

The previous prime is 3656141353. The next prime is 3656141371. The reversal of 3656141364 is 4631416563.

3656141364 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4867989 + ... + 4868739.

It is an arithmetic number, because the mean of its divisors is an integer number (96015360).

Almost surely, 23656141364 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 3656141364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608737280).

3656141364 is an abundant number, since it is smaller than the sum of its proper divisors (5561333196).

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

3656141364 is a wasteful number, since it uses less digits than its factorization.

3656141364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1379 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 3656141364 is about 60466.0347964045. The cubic root of 3656141364 is about 1540.5447788689.

The spelling of 3656141364 in words is "three billion, six hundred fifty-six million, one hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 569 713 751 1138 1426 1502 1707 2139 2253 2276 2852 3004 3414 4278 4506 6828 8556 9012 13087 17273 17639 23281 26174 34546 35278 39261 46562 51819 52348 52917 69092 69843 70556 78522 93124 103638 105834 139686 157044 207276 211668 279372 405697 427319 535463 811394 854638 1070926 1217091 1281957 1606389 1622788 1709276 2141852 2434182 2563914 3212778 4868364 5127828 6425556 9828337 13246889 19656674 26493778 29485011 39313348 39740667 52987556 58970022 79481334 117940044 158962668 304678447 609356894 914035341 1218713788 1828070682 3656141364