Search a number
-
+
51761162496 = 2831392332081
BaseRepresentation
bin110000001101001101…
…001010100100000000
311221121022202111101110
4300031031022210000
51322001324144441
635440113203320
73511455423201
oct601515124400
9157538674343
1051761162496
111aa5191054a
12a046860540
134b5b8b2404
1427105b75a8
15152e2cab16
hexc0d34a900

51761162496 has 144 divisors (see below), whose sum is σ = 139413718080. Its totient is φ = 17047879680.

The previous prime is 51761162477. The next prime is 51761162507. The reversal of 51761162496 is 69426116715.

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

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, 24872176 + ... + 24874256.

It is an arithmetic number, because the mean of its divisors is an integer number (968150820).

Almost surely, 251761162496 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 51761162496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69706859040).

51761162496 is an abundant number, since it is smaller than the sum of its proper divisors (87652555584).

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

51761162496 is a wasteful number, since it uses less digits than its factorization.

51761162496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2458 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The spelling of 51761162496 in words is "fifty-one billion, seven hundred sixty-one million, one hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 233 256 278 384 417 466 556 699 768 834 932 1112 1398 1668 1864 2081 2224 2796 3336 3728 4162 4448 5592 6243 6672 7456 8324 8896 11184 12486 13344 14912 16648 17792 22368 24972 26688 29824 32387 33296 35584 44736 49944 53376 59648 64774 66592 89472 97161 99888 106752 129548 133184 178944 194322 199776 259096 266368 289259 388644 399552 484873 518192 532736 578518 777288 799104 867777 969746 1036384 1157036 1454619 1554576 1598208 1735554 1939492 2072768 2314072 2909238 3109152 3471108 3878984 4145536 4628144 5818476 6218304 6942216 7757968 8291072 9256288 11636952 12436608 13884432 15515936 18512576 23273904 24873216 27768864 31031872 37025152 46547808 55537728 62063744 67397347 74050304 93095616 111075456 124127488 134794694 186191232 202192041 222150912 269589388 372382464 404384082 539178776 808768164 1078357552 1617536328 2156715104 3235072656 4313430208 6470145312 8626860416 12940290624 17253720832 25880581248 51761162496