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3991246336 = 29711293491
BaseRepresentation
bin1110110111100101…
…1001011000000000
3101022011020022200101
43231321121120000
531133224340321
61500014132144
7200623014460
oct35571313000
911264208611
103991246336
111768a554a0
129347b1054
134b7b7822c
1429c115ba0
151855e6791
hexede59600

3991246336 has 160 divisors (see below), whose sum is σ = 10288270080. Its totient is φ = 1500979200.

The previous prime is 3991246331. The next prime is 3991246339. The reversal of 3991246336 is 6336421993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3991246331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141551 + ... + 1145041.

It is an arithmetic number, because the mean of its divisors is an integer number (64301688).

Almost surely, 23991246336 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 3991246336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144135040).

3991246336 is an abundant number, since it is smaller than the sum of its proper divisors (6297023744).

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

3991246336 is a wasteful number, since it uses less digits than its factorization.

3991246336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3540 counting only the distinct ones).

The product of its digits is 629856, while the sum is 46.

The square root of 3991246336 is about 63176.3115099323. The cubic root of 3991246336 is about 1586.2422416168.

The spelling of 3991246336 in words is "three billion, nine hundred ninety-one million, two hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 128 154 176 203 224 232 256 308 319 352 406 448 464 512 616 638 704 812 896 928 1232 1276 1408 1624 1792 1856 2233 2464 2552 2816 3248 3491 3584 3712 4466 4928 5104 5632 6496 6982 7424 8932 9856 10208 12992 13964 14848 17864 19712 20416 24437 25984 27928 35728 38401 39424 40832 48874 51968 55856 71456 76802 81664 97748 101239 103936 111712 142912 153604 163328 195496 202478 223424 268807 285824 307208 390992 404956 446848 537614 571648 614416 708673 781984 809912 893696 1075228 1113629 1143296 1228832 1417346 1563968 1619824 1787392 2150456 2227258 2457664 2834692 3127936 3239648 4300912 4454516 4915328 5669384 6255872 6479296 7795403 8601824 8909032 9830656 11338768 12511744 12958592 15590806 17203648 17818064 19661312 22677536 25917184 31181612 34407296 35636128 45355072 51834368 62363224 68814592 71272256 90710144 124726448 137629184 142544512 181420288 249452896 285089024 362840576 498905792 570178048 997811584 1995623168 3991246336