Search a number
-
+
5106105601056 = 2532132113421297
BaseRepresentation
bin100101001001101101110…
…0111000100110000100000
3200002010202021112010202100
41022103123213010300200
51132124301013213211
614505413523450400
71034622025326615
oct112233347046040
920063667463670
105106105601056
11169953a550049
126a5720526a00
132b06717c47a5
141391cb66450c
158cc4c9a3156
hex4a4db9c4c20

5106105601056 has 72 divisors (see below), whose sum is σ = 14531480927964. Its totient is φ = 1700746629120.

The previous prime is 5106105601049. The next prime is 5106105601067. The reversal of 5106105601056 is 6501065016015.

It can be written as a sum of positive squares in 2 ways, for example, as 4315108816656 + 790996784400 = 2077284^2 + 889380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5106105601056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6330201 + ... + 7091096.

Almost surely, 25106105601056 is an apocalyptic number.

It is an amenable number.

5106105601056 is an abundant number, since it is smaller than the sum of its proper divisors (9425375326908).

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

5106105601056 is a wasteful number, since it uses less digits than its factorization.

5106105601056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13422634 (or 13422623 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 5106105601056 in words is "five trillion, one hundred six billion, one hundred five million, six hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1321 2642 3963 5284 7926 10568 11889 15852 21136 23778 31704 42272 47556 63408 95112 126816 190224 380448 13421297 26842594 40263891 53685188 80527782 107370376 120791673 161055564 214740752 241583346 322111128 429481504 483166692 644222256 966333384 1288444512 1932666768 3865333536 17729533337 35459066674 53188600011 70918133348 106377200022 141836266696 159565800033 212754400044 283672533392 319131600066 425508800088 567345066784 638263200132 851017600176 1276526400264 1702035200352 2553052800528 5106105601056