Search a number
-
+
2755357152336 = 2432711427188857
BaseRepresentation
bin101000000110001000000…
…101011001010001010000
3100202102001120120221210100
4220012020011121101100
5330120432412333321
65505443230132400
7403032214235205
oct50061005312120
910672046527710
102755357152336
119725a430a358
1238600b651100
1316caa15bb449
1497507b95cac
154ba16dce326
hex28188159450

2755357152336 has 120 divisors (see below), whose sum is σ = 7825302523584. Its totient is φ = 904877084160.

The previous prime is 2755357152277. The next prime is 2755357152337. The reversal of 2755357152336 is 6332517535572.

2755357152336 is a `hidden beast` number, since 2 + 7 + 5 + 535 + 71 + 5 + 2 + 3 + 36 = 666.

It is a super-2 number, since 2×27553571523362 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755357152337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14495220 + ... + 14684076.

Almost surely, 22755357152336 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 2755357152336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912651261792).

2755357152336 is an abundant number, since it is smaller than the sum of its proper divisors (5069945371248).

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

2755357152336 is a wasteful number, since it uses less digits than its factorization.

2755357152336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190369 (or 190360 counting only the distinct ones).

The product of its digits is 19845000, while the sum is 54.

The spelling of 2755357152336 in words is "two trillion, seven hundred fifty-five billion, three hundred fifty-seven million, one hundred fifty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1427 1704 2556 2854 3408 4281 5112 5708 8562 10224 11416 12843 17124 22832 25686 34248 51372 68496 101317 102744 188857 202634 205488 303951 377714 405268 566571 607902 755428 810536 911853 1133142 1215804 1510856 1621072 1699713 1823706 2266284 2431608 3021712 3399426 3647412 4532568 4863216 6798852 7294824 9065136 13408847 13597704 14589648 26817694 27195408 40226541 53635388 80453082 107270776 120679623 160906164 214541552 241359246 269498939 321812328 482718492 538997878 643624656 808496817 965436984 1077995756 1616993634 1930873968 2155991512 2425490451 3233987268 4311983024 4850980902 6467974536 9701961804 12935949072 19134424669 19403923608 38268849338 38807847216 57403274007 76537698676 114806548014 153075397352 172209822021 229613096028 306150794704 344419644042 459226192056 688839288084 918452384112 1377678576168 2755357152336