Search a number
-
+
51138778860 = 223251353412343
BaseRepresentation
bin101111101000000110…
…111101011011101100
311212222221122010112200
4233220012331123230
51314213011410420
635254241301500
73460160306511
oct575006753354
9155887563480
1051138778860
111a762564504
129ab2334890
134a8c97a480
142691a85308
1514e483ab90
hexbe81bd6ec

51138778860 has 144 divisors (see below), whose sum is σ = 170205706944. Its totient is φ = 12350467584.

The previous prime is 51138778853. The next prime is 51138778879. The reversal of 51138778860 is 6887783115.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 51138778797 and 51138778806.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82152 + ... + 330191.

It is an arithmetic number, because the mean of its divisors is an integer number (1181984076).

Almost surely, 251138778860 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 51138778860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85102853472).

51138778860 is an abundant number, since it is smaller than the sum of its proper divisors (119066928084).

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

51138778860 is a wasteful number, since it uses less digits than its factorization.

51138778860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412424 (or 412419 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 51138778860 in words is "fifty-one billion, one hundred thirty-eight million, seven hundred seventy-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 53 60 65 78 90 106 117 130 156 159 180 195 212 234 260 265 318 390 468 477 530 585 636 689 780 795 954 1060 1170 1378 1590 1908 2067 2340 2385 2756 3180 3445 4134 4770 6201 6890 8268 9540 10335 12402 13780 20670 24804 31005 41340 62010 124020 412343 824686 1237029 1649372 2061715 2474058 3711087 4123430 4948116 5360459 6185145 7422174 8246860 10720918 12370290 14844348 16081377 18555435 21441836 21854179 24740580 26802295 32162754 37110870 43708358 48244131 53604590 64325508 65562537 74221740 80406885 87416716 96488262 107209180 109270895 131125074 160813770 192976524 196687611 218541790 241220655 262250148 284104327 321627540 327812685 393375222 437083580 482441310 568208654 655625370 786750444 852312981 964882620 983438055 1136417308 1311250740 1420521635 1704625962 1966876110 2556938943 2841043270 3409251924 3933752220 4261564905 5113877886 5682086540 8523129810 10227755772 12784694715 17046259620 25569389430 51138778860