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3984369912 = 23362712521
BaseRepresentation
bin1110110101111100…
…1010100011111000
3101021200021222000000
43231133022203320
531124444314122
61455210513000
7200510404545
oct35537124370
911250258000
103984369912
1117650890a6
12932435760
134b660b343
1429b245bcc
15184bd90ac
hexed7ca8f8

3984369912 has 112 divisors (see below), whose sum is σ = 11246707680. Its totient is φ = 1322697600.

The previous prime is 3984369911. The next prime is 3984369913. The reversal of 3984369912 is 2199634893.

It is an interprime number because it is at equal distance from previous prime (3984369911) and next prime (3984369913).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984369911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1579212 + ... + 1581732.

Almost surely, 23984369912 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 3984369912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623353840).

3984369912 is an abundant number, since it is smaller than the sum of its proper divisors (7262337768).

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

3984369912 is a wasteful number, since it uses less digits than its factorization.

3984369912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2797 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 3984369912 is about 63121.8655617845. The cubic root of 3984369912 is about 1585.3307515294.

The spelling of 3984369912 in words is "three billion, nine hundred eighty-four million, three hundred sixty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 271 324 486 542 648 729 813 972 1084 1458 1626 1944 2168 2439 2521 2916 3252 4878 5042 5832 6504 7317 7563 9756 10084 14634 15126 19512 20168 21951 22689 29268 30252 43902 45378 58536 60504 65853 68067 87804 90756 131706 136134 175608 181512 197559 204201 263412 272268 395118 408402 526824 544536 612603 683191 790236 816804 1225206 1366382 1580472 1633608 1837809 2049573 2450412 2732764 3675618 4099146 4900824 5465528 6148719 7351236 8198292 12297438 14702472 16396584 18446157 24594876 36892314 49189752 55338471 73784628 110676942 147569256 166015413 221353884 332030826 442707768 498046239 664061652 996092478 1328123304 1992184956 3984369912