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3931344872 = 2372131922137
BaseRepresentation
bin1110101001010011…
…1000111111101000
3101010222112000022122
43222110320333220
531022411013442
61450034210412
7166264610600
oct35224707750
911128460278
103931344872
111738161654
12918723a08
134a8634090
142941a1c00
15180212dd2
hexea538fe8

3931344872 has 144 divisors (see below), whose sum is σ = 9750498660. Its totient is φ = 1472712192.

The previous prime is 3931344869. The next prime is 3931344881. The reversal of 3931344872 is 2784431393.

It can be written as a sum of positive squares in 2 ways, for example, as 3090692836 + 840652036 = 55594^2 + 28994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1838588 + ... + 1840724.

Almost surely, 23931344872 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 3931344872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875249330).

3931344872 is an abundant number, since it is smaller than the sum of its proper divisors (5819153788).

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

3931344872 is a wasteful number, since it uses less digits than its factorization.

3931344872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2178 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 3931344872 is about 62700.4375742307. The cubic root of 3931344872 is about 1578.2666554447.

The spelling of 3931344872 in words is "three billion, nine hundred thirty-one million, three hundred forty-four thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 49 52 56 76 91 98 104 133 152 182 196 247 266 361 364 392 494 532 637 722 728 931 988 1064 1274 1444 1729 1862 1976 2137 2527 2548 2888 3458 3724 4274 4693 5054 5096 6916 7448 8548 9386 10108 12103 13832 14959 17096 17689 18772 20216 24206 27781 29918 32851 35378 37544 40603 48412 55562 59836 65702 70756 81206 96824 104713 111124 119672 131404 141512 162412 194467 209426 222248 229957 262808 284221 324824 388934 418852 459914 527839 568442 771457 777868 837704 919828 1055678 1136884 1361269 1542914 1555736 1839656 1989547 2111356 2273768 2722538 3085828 3694873 3979094 4222712 5400199 5445076 6171656 7389746 7958188 10028941 10800398 10890152 14779492 15916376 20057882 21600796 25864111 29558984 37801393 40115764 43201592 51728222 70202587 75602786 80231528 103456444 140405174 151205572 206912888 280810348 302411144 491418109 561620696 982836218 1965672436 3931344872