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3620743542 = 2321322115641
BaseRepresentation
bin1101011111010000…
…0010100101110110
3100100100001211101200
43113310002211312
524403402243132
61355141033330
7155503545423
oct32764024566
910310054350
103620743542
1115988a7239
128506b5846
13459193b00
14264c2cd4a
15162d0cd7c
hexd7d02976

3620743542 has 72 divisors (see below), whose sum is σ = 8536594248. Its totient is φ = 1108598400.

The previous prime is 3620743499. The next prime is 3620743543. The reversal of 3620743542 is 2453470263.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3620743497 and 3620743506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3620743543) 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 35 ways as a sum of consecutive naturals, for example, 639042 + ... + 644682.

It is an arithmetic number, because the mean of its divisors is an integer number (118563809).

Almost surely, 23620743542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3620743542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268297124).

3620743542 is an abundant number, since it is smaller than the sum of its proper divisors (4915850706).

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

3620743542 is a wasteful number, since it uses less digits than its factorization.

3620743542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3620743542 is about 60172.6145518042. The cubic root of 3620743542 is about 1535.5569273595.

The spelling of 3620743542 in words is "three billion, six hundred twenty million, seven hundred forty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 211 234 338 422 507 633 1014 1266 1521 1899 2743 3042 3798 5486 5641 8229 11282 16458 16923 24687 33846 35659 49374 50769 71318 73333 101538 106977 146666 213954 219999 320931 439998 641862 659997 953329 1190251 1319994 1906658 2380502 2859987 3570753 5719974 7141506 8579961 10712259 15473263 17159922 21424518 30946526 46419789 92839578 139259367 201152419 278518734 402304838 603457257 1206914514 1810371771 3620743542