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56758078972248 = 23343181866935051
BaseRepresentation
bin11001110011111000001010…
…01000101010000101011000
321102222000112010000200212020
430321330011020222011120
524414411021204102443
6320414145043414440
714645431052034453
oct1471740510520530
9242860463020766
1056758078972248
11170a2a69999655
126448119984420
132589357993174
141003169db249a
1568661b93e583
hex339f0522a158

56758078972248 has 128 divisors (see below), whose sum is σ = 146018275603200. Its totient is φ = 18374634432000.

The previous prime is 56758078972237. The next prime is 56758078972249. The reversal of 56758078972248 is 84227987085765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56758078972249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1619282323 + ... + 1619317373.

It is an arithmetic number, because the mean of its divisors is an integer number (1140767778150).

Almost surely, 256758078972248 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 56758078972248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73009137801600).

56758078972248 is an abundant number, since it is smaller than the sum of its proper divisors (89260196630952).

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

56758078972248 is a wasteful number, since it uses less digits than its factorization.

56758078972248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43953 (or 43949 counting only the distinct ones).

The product of its (nonzero) digits is 3793305600, while the sum is 78.

The spelling of 56758078972248 in words is "fifty-six trillion, seven hundred fifty-eight billion, seventy-eight million, nine hundred seventy-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 181 258 344 362 516 543 724 1032 1086 1448 2172 4344 7783 8669 15566 17338 23349 26007 31132 34676 35051 46698 52014 62264 69352 70102 93396 104028 105153 140204 186792 208056 210306 280408 372767 420612 745534 841224 1118301 1491068 1507193 1569089 2236602 2982136 3014386 3138178 4473204 4521579 4707267 6028772 6276356 6344231 8946408 9043158 9414534 12057544 12552712 12688462 18086316 18829068 19032693 25376924 36172632 37658136 38065386 50753848 67470827 76130772 134941654 152261544 202412481 269883308 272801933 303857119 404824962 539766616 545603866 607714238 809649924 818405799 911571357 1091207732 1215428476 1619299848 1636811598 1823142714 2182415464 2430856952 3273623196 3646285428 6547246392 7292570856 13065856117 26131712234 39197568351 52263424468 54998138539 78395136702 104526848936 109996277078 156790273404 164994415617 219992554156 313580546808 329988831234 439985108312 659977662468 1319955324936 2364919957177 4729839914354 7094759871531 9459679828708 14189519743062 18919359657416 28379039486124 56758078972248