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3625841016 = 2333710123743
BaseRepresentation
bin1101100000011101…
…1111000101111000
3100100200122210211000
43120013133011320
524411203403031
61355442205000
7155565066030
oct33007370570
910320583730
103625841016
1115a0769026
12852353760
1345a25a075
142657988c0
151634b83e6
hexd81df178

3625841016 has 128 divisors (see below), whose sum is σ = 11625062400. Its totient is φ = 1025654400.

The previous prime is 3625840987. The next prime is 3625841017. The reversal of 3625841016 is 6101485263.

It is a happy number.

3625841016 is a `hidden beast` number, since 3 + 62 + 584 + 1 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625841017) 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 31 ways as a sum of consecutive naturals, for example, 140841 + ... + 164583.

It is an arithmetic number, because the mean of its divisors is an integer number (90820800).

Almost surely, 23625841016 is an apocalyptic number.

3625841016 is a gapful number since it is divisible by the number (36) 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 3625841016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812531200).

3625841016 is an abundant number, since it is smaller than the sum of its proper divisors (7999221384).

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

3625841016 is a wasteful number, since it uses less digits than its factorization.

3625841016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23866 (or 23856 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3625841016 is about 60214.9567466423. The cubic root of 3625841016 is about 1536.2772021675.

The spelling of 3625841016 in words is "three billion, six hundred twenty-five million, eight hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 101 108 126 168 189 202 216 252 303 378 404 504 606 707 756 808 909 1212 1414 1512 1818 2121 2424 2727 2828 3636 4242 5454 5656 6363 7272 8484 10908 12726 16968 19089 21816 23743 25452 38178 47486 50904 71229 76356 94972 142458 152712 166201 189944 213687 284916 332402 427374 498603 569832 641061 664804 854748 997206 1282122 1329608 1495809 1709496 1994412 2398043 2564244 2991618 3988824 4487427 4796086 5128488 5983236 7194129 8974854 9592172 11966472 14388258 16786301 17949708 19184344 21582387 28776516 33572602 35899416 43164774 50358903 57553032 64747161 67145204 86329548 100717806 129494322 134290408 151076709 172659096 201435612 258988644 302153418 402871224 453230127 517977288 604306836 906460254 1208613672 1812920508 3625841016