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1056600060656 = 247223229255877
BaseRepresentation
bin11110110000000100100…
…01010111001011110000
310202000021021102102020212
433120002101113023300
5114302404103420111
62125221222123252
7136223351221100
oct17300221271360
93660237372225
101056600060656
11378113209228
12150939280528
13788385216aa
14391d5547200
151c74077498b
hexf6024572f0

1056600060656 has 120 divisors (see below), whose sum is σ = 2495793071520. Its totient is φ = 431247269376.

The previous prime is 1056600060611. The next prime is 1056600060673. The reversal of 1056600060656 is 6560600066501.

It is a super-2 number, since 2×10566000606562 (a number of 25 digits) contains 22 as substring.

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, 4001390 + ... + 4257266.

It is an arithmetic number, because the mean of its divisors is an integer number (20798275596).

Almost surely, 21056600060656 is an apocalyptic number.

1056600060656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056600060656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247896535760).

1056600060656 is an abundant number, since it is smaller than the sum of its proper divisors (1439193010864).

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

1056600060656 is a wasteful number, since it uses less digits than its factorization.

1056600060656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256151 (or 256138 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 1056600060656 in words is "one trillion, fifty-six billion, six hundred million, sixty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 229 322 368 392 458 644 784 916 1127 1288 1603 1832 2254 2576 3206 3664 4508 5267 6412 9016 10534 11221 12824 18032 21068 22442 25648 36869 42136 44884 73738 84272 89768 147476 179536 255877 258083 294952 511754 516166 589904 1023508 1032332 1791139 2047016 2064664 3582278 4094032 4129328 5885171 7164556 11770342 12537973 14329112 23540684 25075946 28658224 41196197 47081368 50151892 58595833 82392394 94162736 100303784 117191666 164784788 200607568 234383332 288373379 329569576 410170831 468766664 576746758 659139152 820341662 937533328 1153493516 1347704159 1640683324 2306987032 2695408318 2871195817 3281366648 4613974064 5390816636 5742391634 6562733296 9433929113 10781633272 11484783268 18867858226 21563266544 22969566536 37735716452 45939133072 66037503791 75471432904 132075007582 150942865808 264150015164 528300030328 1056600060656