Search a number
-
+
6249410239220 = 2251953511960617
BaseRepresentation
bin101101011110000110111…
…1000001001101011110100
3211010102211010220110022122
41122330031320021223310
51304342243010123340
621142534530015112
71213335132365561
oct132741570115364
924112733813278
106249410239220
111a9a3a61816a5
1284b216a17498
133644171997c5
1417868a161868
15ac865107db5
hex5af0de09af4

6249410239220 has 96 divisors (see below), whose sum is σ = 14078118297600. Its totient is φ = 2323022367744.

The previous prime is 6249410239211. The next prime is 6249410239223. The reversal of 6249410239220 is 229320149426.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6249410239223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103066352 + ... + 103126968.

It is an arithmetic number, because the mean of its divisors is an integer number (146647065600).

Almost surely, 26249410239220 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 6249410239220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039059148800).

6249410239220 is an abundant number, since it is smaller than the sum of its proper divisors (7828708058380).

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

6249410239220 is a wasteful number, since it uses less digits than its factorization.

6249410239220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65817 (or 65815 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 6249410239220 in words is "six trillion, two hundred forty-nine billion, four hundred ten million, two hundred thirty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 2014 4028 5035 5119 10070 10238 20140 20476 25595 51190 60617 97261 102380 121234 194522 242468 271307 303085 389044 486305 542614 606170 972610 1085228 1151723 1212340 1356535 1945220 2303446 2713070 3212701 4606892 5154833 5426140 5758615 6425402 10309666 11517230 12850804 16063505 20619332 23034460 25774165 32127010 51548330 61041319 64254020 103096660 122082638 244165276 305206595 310298423 610413190 620596846 1220826380 1241193692 1551492115 3102984230 5895670037 6205968460 11791340074 16445816419 23582680148 29478350185 32891632838 58956700370 65783265676 82229082095 117913400740 164458164190 312470511961 328916328380 624941023922 1249882047844 1562352559805 3124705119610 6249410239220