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7921314912 = 2537216310331
BaseRepresentation
bin1110110000010010…
…11010110001100000
3202110001100111020210
413120021122301200
5112210324034122
63350005134120
7400204031400
oct73011326140
922401314223
107921314912
1133a5415155
1216509ba340
139931533b4
14552064800
1531565640c
hex1d825ac60

7921314912 has 144 divisors (see below), whose sum is σ = 24339051072. Its totient is φ = 2249130240.

The previous prime is 7921314847. The next prime is 7921314953. The reversal of 7921314912 is 2194131297.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761587 + ... + 771917.

It is an arithmetic number, because the mean of its divisors is an integer number (169021188).

Almost surely, 27921314912 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 7921314912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12169525536).

7921314912 is an abundant number, since it is smaller than the sum of its proper divisors (16417736160).

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

7921314912 is a wasteful number, since it uses less digits than its factorization.

7921314912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10521 (or 10506 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 7921314912 is about 89001.7691509556. The cubic root of 7921314912 is about 1993.4212933697.

The spelling of 7921314912 in words is "seven billion, nine hundred twenty-one million, three hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 163 168 196 224 294 326 336 392 489 588 652 672 784 978 1141 1176 1304 1568 1956 2282 2352 2608 3423 3912 4564 4704 5216 6846 7824 7987 9128 10331 13692 15648 15974 18256 20662 23961 27384 30993 31948 36512 41324 47922 54768 61986 63896 72317 82648 95844 109536 123972 127792 144634 165296 191688 216951 247944 255584 289268 330592 383376 433902 495888 506219 578536 766752 867804 991776 1012438 1157072 1518657 1683953 1735608 2024876 2314144 3037314 3367906 3471216 4049752 5051859 6074628 6735812 6942432 8099504 10103718 11787671 12149256 13471624 16199008 20207436 23575342 24298512 26943248 35363013 40414872 47150684 48597024 53886496 70726026 80829744 82513697 94301368 141452052 161659488 165027394 188602736 247541091 282904104 330054788 377205472 495082182 565808208 660109576 990164364 1131616416 1320219152 1980328728 2640438304 3960657456 7921314912