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3156481680 = 2435111319127
BaseRepresentation
bin1011110000100100…
…0001011010010000
322010222110212211220
42330021001122100
522431024403210
61241114205040
7141135436332
oct27411013220
98128425756
103156481680
11137a82a450
12741123780
133b3c42751
1421d2db452
151371a3c70
hexbc241690

3156481680 has 160 divisors (see below), whose sum is σ = 10757311488. Its totient is φ = 759283200.

The previous prime is 3156481673. The next prime is 3156481687. The reversal of 3156481680 is 861846513.

It is an interprime number because it is at equal distance from previous prime (3156481673) and next prime (3156481687).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3156481687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341277 + ... + 350403.

Almost surely, 23156481680 is an apocalyptic number.

3156481680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3156481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378655744).

3156481680 is an abundant number, since it is smaller than the sum of its proper divisors (7600829808).

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

3156481680 is a wasteful number, since it uses less digits than its factorization.

3156481680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9285 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 3156481680 is about 56182.5745227112. The cubic root of 3156481680 is about 1466.9019672987.

The spelling of 3156481680 in words is "three billion, one hundred fifty-six million, four hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 131 132 165 176 220 240 262 264 330 393 440 524 528 655 660 786 880 1048 1310 1320 1441 1572 1965 2096 2620 2640 2882 3144 3930 4323 5240 5764 6288 7205 7860 8646 9127 10480 11528 14410 15720 17292 18254 21615 23056 27381 28820 31440 34584 36508 43230 45635 54762 57640 69168 73016 86460 91270 100397 109524 115280 136905 146032 172920 182540 200794 219048 273810 301191 345840 365080 401588 438096 501985 547620 602382 730160 803176 1003970 1095240 1195637 1204764 1505955 1606352 2007940 2190480 2391274 2409528 3011910 3586911 4015880 4782548 4819056 5978185 6023820 7173822 8031760 9565096 11956370 12047640 13152007 14347644 17934555 19130192 23912740 24095280 26304014 28695288 35869110 39456021 47825480 52608028 57390576 65760035 71738220 78912042 95650960 105216056 131520070 143476440 157824084 197280105 210432112 263040140 286952880 315648168 394560210 526080280 631296336 789120420 1052160560 1578240840 3156481680