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3127628076 = 22319291992377
BaseRepresentation
bin1011101001101011…
…1101000100101100
322001222011222010220
42322122331010230
522401133044301
61234203531340
7140335254126
oct27232750454
98058158126
103127628076
1113655122a1
12733529b50
133aac7c501
1421954a216
151348a4936
hexba6bd12c

3127628076 has 96 divisors (see below), whose sum is σ = 7990080000. Its totient is φ = 948423168.

The previous prime is 3127628059. The next prime is 3127628081. The reversal of 3127628076 is 6708267213.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1314600 + ... + 1316976.

It is an arithmetic number, because the mean of its divisors is an integer number (83230000).

Almost surely, 23127628076 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 3127628076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995040000).

3127628076 is an abundant number, since it is smaller than the sum of its proper divisors (4862451924).

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

3127628076 is a wasteful number, since it uses less digits than its factorization.

3127628076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3127628076 is about 55925.2007238240. The cubic root of 3127628076 is about 1462.4185964480.

The spelling of 3127628076 in words is "three billion, one hundred twenty-seven million, six hundred twenty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 199 228 348 398 551 597 796 1102 1194 1653 2204 2377 2388 3306 3781 4754 5771 6612 7131 7562 9508 11343 11542 14262 15124 17313 22686 23084 28524 34626 45163 45372 68933 69252 90326 109649 135489 137866 180652 206799 219298 270978 275732 328947 413598 438596 473023 541956 657894 827196 946046 1309727 1315788 1419069 1892092 2619454 2838138 3929181 5238908 5676276 7858362 8987437 13717667 15716724 17974874 26962311 27435334 35949748 41153001 53924622 54870668 82306002 107849244 164612004 260635673 521271346 781907019 1042542692 1563814038 3127628076