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51188863284 = 223213839130367
BaseRepresentation
bin101111101011000110…
…000001000100110100
311220010102212200110100
4233223012001010310
51314313322111114
635303230554100
73461336105316
oct575306010464
9156112780410
1051188863284
111a788862699
129b07068930
134a9a165120
1426985a17b6
1514e8e30909
hexbeb181134

51188863284 has 72 divisors (see below), whose sum is σ = 139514618880. Its totient is φ = 15731525952.

The previous prime is 51188863223. The next prime is 51188863307. The reversal of 51188863284 is 48236888115.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 51188863284.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327469 + ... + 457835.

It is an arithmetic number, because the mean of its divisors is an integer number (1937703040).

Almost surely, 251188863284 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 51188863284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69757309440).

51188863284 is an abundant number, since it is smaller than the sum of its proper divisors (88325755596).

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

51188863284 is a wasteful number, since it uses less digits than its factorization.

51188863284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131229 (or 131224 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 51188863284 in words is "fifty-one billion, one hundred eighty-eight million, eight hundred sixty-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 839 1678 2517 3356 5034 7551 10068 10907 15102 21814 30204 32721 43628 65442 98163 130367 130884 196326 260734 391101 392652 521468 782202 1173303 1564404 1694771 2346606 3389542 4693212 5084313 6779084 10168626 15252939 20337252 30505878 61011756 109377913 218755826 328133739 437511652 656267478 984401217 1312534956 1421912869 1968802434 2843825738 3937604868 4265738607 5687651476 8531477214 12797215821 17062954428 25594431642 51188863284