Search a number
-
+
6102093624 = 2331138959419
BaseRepresentation
bin1011010111011011…
…01000111100111000
3120202021011110210120
411223231220330320
544444113443444
62445301013240
7304133640264
oct55355507470
916667143716
106102093624
112651522290
1212236b4220
137632934b3
1441c5c70a4
1525aaa2b19
hex16bb68f38

6102093624 has 64 divisors (see below), whose sum is σ = 16685136000. Its totient is φ = 1844334720.

The previous prime is 6102093623. The next prime is 6102093631. The reversal of 6102093624 is 4263902016.

It is a super-2 number, since 2×61020936242 = 74471093192122906752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6102093623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72987 + ... + 132405.

It is an arithmetic number, because the mean of its divisors is an integer number (260705250).

Almost surely, 26102093624 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 6102093624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342568000).

6102093624 is an abundant number, since it is smaller than the sum of its proper divisors (10583042376).

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

6102093624 is a wasteful number, since it uses less digits than its factorization.

6102093624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59828 (or 59824 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6102093624 is about 78115.8986634603. The cubic root of 6102093624 is about 1827.3691504565.

The spelling of 6102093624 in words is "six billion, one hundred two million, ninety-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 389 778 1167 1556 2334 3112 4279 4668 8558 9336 12837 17116 25674 34232 51348 59419 102696 118838 178257 237676 356514 475352 653609 713028 1307218 1426056 1960827 2614436 3921654 5228872 7843308 15686616 23113991 46227982 69341973 92455964 138683946 184911928 254253901 277367892 508507802 554735784 762761703 1017015604 1525523406 2034031208 3051046812 6102093624