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3181993680 = 243529457183
BaseRepresentation
bin1011110110101001…
…0101111011010000
322012202111000201210
42331222111323100
523004042244210
61243425100120
7141565333335
oct27552257320
98182430653
103181993680
111393174a48
12749787640
133b93059c8
1422285c98c
15139542e20
hexbda95ed0

3181993680 has 80 divisors (see below), whose sum is σ = 10204346880. Its totient is φ = 819270144.

The previous prime is 3181993663. The next prime is 3181993693. The reversal of 3181993680 is 863991813.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221632 + ... + 235551.

It is an arithmetic number, because the mean of its divisors is an integer number (127554336).

Almost surely, 23181993680 is an apocalyptic number.

3181993680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3181993680 is an abundant number, since it is smaller than the sum of its proper divisors (7022353200).

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

3181993680 is a wasteful number, since it uses less digits than its factorization.

3181993680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457228 (or 457222 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 3181993680 is about 56409.1630854421. The cubic root of 3181993680 is about 1470.8434051283.

The spelling of 3181993680 in words is "three billion, one hundred eighty-one million, nine hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 457183 914366 1371549 1828732 2285915 2743098 3657464 4571830 5486196 6857745 7314928 9143660 10972392 13258307 13715490 18287320 21944784 26516614 27430980 36574640 39774921 53033228 54861960 66291535 79549842 106066456 109723920 132583070 159099684 198874605 212132912 265166140 318199368 397749210 530332280 636398736 795498420 1060664560 1590996840 3181993680