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3998561712 = 243614792851
BaseRepresentation
bin1110111001010101…
…0011010110110000
3101022122222222111020
43232111103112300
531142112433322
61500435015440
7201042133215
oct35625232660
911278888436
103998561712
1117720a1662
1293713a580
134b9539b62
1429d09bb0c
1518608e05c
hexee5535b0

3998561712 has 80 divisors (see below), whose sum is σ = 10524564480. Its totient is φ = 1307808000.

The previous prime is 3998561711. The next prime is 3998561737. The reversal of 3998561712 is 2171658993.

Its product of digits (816480) is a multiple of the sum of its prime factors (3402).

It is not an unprimeable number, because it can be changed into a prime (3998561711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1401087 + ... + 1403937.

It is an arithmetic number, because the mean of its divisors is an integer number (131557056).

Almost surely, 23998561712 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 3998561712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262282240).

3998561712 is an abundant number, since it is smaller than the sum of its proper divisors (6526002768).

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

3998561712 is a wasteful number, since it uses less digits than its factorization.

3998561712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3396 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 3998561712 is about 63234.1815160124. The cubic root of 3998561712 is about 1587.2107675024.

The spelling of 3998561712 in words is "three billion, nine hundred ninety-eight million, five hundred sixty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 479 488 732 958 976 1437 1464 1916 2851 2874 2928 3832 5702 5748 7664 8553 11404 11496 17106 22808 22992 29219 34212 45616 58438 68424 87657 116876 136848 173911 175314 233752 347822 350628 467504 521733 695644 701256 1043466 1365629 1391288 1402512 2086932 2731258 2782576 4096887 4173864 5462516 8193774 8347728 10925032 16387548 21850064 32775096 65550192 83303369 166606738 249910107 333213476 499820214 666426952 999640428 1332853904 1999280856 3998561712