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51274913140 = 225112695211663
BaseRepresentation
bin101111110000001110…
…010001010101110100
311220100102210110200001
4233300032101111310
51320002334210030
635315543201044
73463432366453
oct576016212564
9156312713601
1051274913140
111a822396180
129b2ba46184
134ab1c330b9
1426a5ba0b9a
15150177bcca
hexbf0391574

51274913140 has 96 divisors (see below), whose sum is σ = 118200176640. Its totient is φ = 18529305600.

The previous prime is 51274913089. The next prime is 51274913149. The reversal of 51274913140 is 4131947215.

It is a happy number.

51274913140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51274913140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51274913149) 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, 30831949 + ... + 30833611.

It is an arithmetic number, because the mean of its divisors is an integer number (1231251840).

Almost surely, 251274913140 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 51274913140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59100088320).

51274913140 is an abundant number, since it is smaller than the sum of its proper divisors (66925263500).

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

51274913140 is a wasteful number, since it uses less digits than its factorization.

51274913140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 51274913140 in words is "fifty-one billion, two hundred seventy-four million, nine hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 269 521 538 1042 1076 1345 1663 2084 2605 2690 2959 3326 5210 5380 5731 5918 6652 8315 10420 11462 11836 14795 16630 18293 22924 28655 29590 33260 36586 57310 59180 73172 91465 114620 140149 182930 280298 365860 447347 560596 700745 866423 894694 1401490 1541639 1732846 1789388 2236735 2802980 3083278 3465692 4332115 4473470 4920817 6166556 7708195 8664230 8946940 9530653 9841634 15416390 17328460 19061306 19683268 24604085 30832780 38122612 47653265 49208170 95306530 98416340 190613060 233067787 466135574 932271148 1165338935 2330677870 2563745657 4661355740 5127491314 10254982628 12818728285 25637456570 51274913140