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2421471712 = 2511137149337
BaseRepresentation
bin1001000001010100…
…1011100111100000
320020202102111201111
42100111023213200
514424344043322
61040140313104
7114002112202
oct22025134740
96222374644
102421471712
1110329485a0
12576b42794
132c7895bca
1418d84c772
15e28b8177
hex9054b9e0

2421471712 has 96 divisors (see below), whose sum is σ = 5289429600. Its totient is φ = 1082081280.

The previous prime is 2421471709. The next prime is 2421471737. The reversal of 2421471712 is 2171741242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7185208 + ... + 7185544.

It is an arithmetic number, because the mean of its divisors is an integer number (55098225).

Almost surely, 22421471712 is an apocalyptic number.

2421471712 is a gapful number since it is divisible by the number (22) 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 2421471712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644714800).

2421471712 is an abundant number, since it is smaller than the sum of its proper divisors (2867957888).

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

2421471712 is a wasteful number, since it uses less digits than its factorization.

2421471712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its digits is 6272, while the sum is 31.

The square root of 2421471712 is about 49208.4516318081. The cubic root of 2421471712 is about 1342.8467939964.

The spelling of 2421471712 in words is "two billion, four hundred twenty-one million, four hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 149 176 274 298 337 352 548 596 674 1096 1192 1348 1507 1639 2192 2384 2696 3014 3278 3707 4384 4768 5392 6028 6556 7414 10784 12056 13112 14828 20413 24112 26224 29656 40826 46169 48224 50213 52448 59312 81652 92338 100426 118624 163304 184676 200852 224543 326608 369352 401704 449086 507859 552343 653216 738704 803408 898172 1015718 1104686 1477408 1606816 1796344 2031436 2209372 3592688 4062872 4418744 6879181 7185376 8125744 8837488 13758362 16251488 17674976 27516724 55033448 75670991 110066896 151341982 220133792 302683964 605367928 1210735856 2421471712