Search a number
-
+
51661006200 = 2334523188951
BaseRepresentation
bin110000000111001111…
…000110010101111000
311221100100022000210000
4300013033012111320
51321300204144300
635422134353000
73506131210266
oct600717062570
9157310260700
1051661006200
111aa00322651
12a0191bb760
134b43c1572b
142701185436
1515255e4c00
hexc073c6578

51661006200 has 120 divisors (see below), whose sum is σ = 179426384280. Its totient is φ = 13776264000.

The previous prime is 51661006193. The next prime is 51661006217. The reversal of 51661006200 is 260016615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 1578276 + ... + 1610675.

It is an arithmetic number, because the mean of its divisors is an integer number (1495219869).

Almost surely, 251661006200 is an apocalyptic number.

51661006200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51661006200 is an abundant number, since it is smaller than the sum of its proper divisors (127765378080).

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

51661006200 is a wasteful number, since it uses less digits than its factorization.

51661006200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188979 (or 3188961 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 51661006200 in words is "fifty-one billion, six hundred sixty-one million, six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 3188951 6377902 9566853 12755804 15944755 19133706 25511608 28700559 31889510 38267412 47834265 57401118 63779020 76534824 79723775 86101677 95668530 114802236 127558040 143502795 159447550 172203354 191337060 229604472 239171325 258305031 287005590 318895100 344406708 382674120 430508385 478342650 516610062 574011180 637790200 688813416 717513975 861016770 956685300 1033220124 1148022360 1291525155 1435027950 1722033540 1913370600 2066440248 2152541925 2583050310 2870055900 3444067080 4305083850 5166100620 5740111800 6457625775 8610167700 10332201240 12915251550 17220335400 25830503100 51661006200