Search a number
-
+
1012382617428 = 2232713319968713
BaseRepresentation
bin11101011101101101011…
…01001100111101010100
310120210010200111120021100
432232312231030331110
5113041324422224203
62053025424550100
7133066533156330
oct16566655147524
93523120446240
101012382617428
1136039265a716
12144258a82330
137460c7969c0
1436ddcbc27c0
151b5038b4ea3
hexebb6b4cf54

1012382617428 has 144 divisors (see below), whose sum is σ = 3251236258816. Its totient is φ = 258389015040.

The previous prime is 1012382617427. The next prime is 1012382617447. The reversal of 1012382617428 is 8247162832101.

1012382617428 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 8 + 2 + 617 + 4 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012382617427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4882801 + ... + 5085912.

Almost surely, 21012382617428 is an apocalyptic number.

1012382617428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1012382617428 is an abundant number, since it is smaller than the sum of its proper divisors (2238853641388).

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

1012382617428 is a wasteful number, since it uses less digits than its factorization.

1012382617428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9968774 (or 9968769 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1012382617428 in words is "one trillion, twelve billion, three hundred eighty-two million, six hundred seventeen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2418 2604 2821 3276 3627 3906 4836 5642 7254 7812 8463 11284 14508 16926 25389 33852 50778 101556 9968713 19937426 29906139 39874852 59812278 69780991 89718417 119624556 129593269 139561982 179436834 209342973 259186538 279123964 309030103 358873668 388779807 418685946 518373076 618060206 628028919 777559614 837371892 907152883 927090309 1166339421 1236120412 1256057838 1555119228 1814305766 1854180618 2163210721 2332678842 2512115676 2721458649 2781270927 3628611532 3708361236 4017391339 4326421442 4665357684 5442917298 5562541854 6489632163 8034782678 8164375947 8652842884 10885834596 11125083708 12052174017 12979264326 16069565356 16328751894 19468896489 24104348034 25958528652 28121739373 32657503788 36156522051 38937792978 48208696068 56243478746 72313044102 77875585956 84365218119 112486957492 144626088204 168730436238 253095654357 337460872476 506191308714 1012382617428