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6242917044 = 2237138368879
BaseRepresentation
bin1011101000001101…
…10101101010110100
3121010002011001012210
411310012311222310
5100241141321134
62511251213420
7310463630220
oct56406655264
917102131183
106242917044
112713a66a81
1212628a7270
137864cb570
144331a3780
1526811d2e9
hex1741b5ab4

6242917044 has 96 divisors (see below), whose sum is σ = 18144645120. Its totient is φ = 1626622848.

The previous prime is 6242917007. The next prime is 6242917063. The reversal of 6242917044 is 4407192426.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 6242916993 and 6242917011.

It is a congruent number.

It is an unprimeable number.

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, 56197 + ... + 125075.

It is an arithmetic number, because the mean of its divisors is an integer number (189006720).

Almost surely, 26242917044 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 6242917044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072322560).

6242917044 is an abundant number, since it is smaller than the sum of its proper divisors (11901728076).

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

6242917044 is a wasteful number, since it uses less digits than its factorization.

6242917044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68989 (or 68987 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 6242917044 is about 79012.1322582804. The cubic root of 6242917044 is about 1841.3196507505.

The spelling of 6242917044 in words is "six billion, two hundred forty-two million, nine hundred seventeen thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 83 84 91 156 166 182 249 273 332 364 498 546 581 996 1079 1092 1162 1743 2158 2324 3237 3486 4316 6474 6972 7553 12948 15106 22659 30212 45318 68879 90636 137758 206637 275516 413274 482153 826548 895427 964306 1446459 1790854 1928612 2686281 2892918 3581708 5372562 5716957 5785836 6267989 10745124 11433914 12535978 17150871 18803967 22867828 25071956 34301742 37607934 40018699 68603484 74320441 75215868 80037398 120056097 148640882 160074796 222961323 240112194 297281764 445922646 480224388 520243087 891845292 1040486174 1560729261 2080972348 3121458522 6242917044