Search a number
-
+
6155704646260 = 2251383985928933
BaseRepresentation
bin101100110010011110010…
…0101101011101001110100
3210210110221122022010021121
41121210330211223221310
51301323340342140020
621031520333553324
71203510046112161
oct131447445535164
923713848263247
106155704646260
111a6368a880794
12835025045844
13358632745c90
14173d1b069068
15aa1cd7acbaa
hex5993c96ba74

6155704646260 has 96 divisors (see below), whose sum is σ = 14091006142080. Its totient is φ = 2245186156032.

The previous prime is 6155704646257. The next prime is 6155704646347. The reversal of 6155704646260 is 626464075516.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 6155704646198 and 6155704646207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212742754 + ... + 212771686.

It is an arithmetic number, because the mean of its divisors is an integer number (146781313980).

Almost surely, 26155704646260 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 6155704646260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045503071040).

6155704646260 is an abundant number, since it is smaller than the sum of its proper divisors (7935301495820).

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

6155704646260 is a wasteful number, since it uses less digits than its factorization.

6155704646260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38897 (or 38895 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 6155704646260 in words is "six trillion, one hundred fifty-five billion, seven hundred four million, six hundred forty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 830 1079 1660 2158 4316 5395 9859 10790 19718 21580 28933 39436 49295 57866 98590 115732 128167 144665 197180 256334 289330 376129 512668 578660 640835 752258 818297 1281670 1504516 1636594 1880645 2401439 2563340 3273188 3761290 4091485 4802878 7522580 8182970 9605756 10637861 12007195 16365940 21275722 24014390 31218707 42551444 48028780 53189305 62437414 106378610 124874828 156093535 212757220 285250447 312187070 570500894 624374140 1141001788 1426252235 2852504470 3708255811 5705008940 7416511622 14833023244 18541279055 23675787101 37082558110 47351574202 74165116220 94703148404 118378935505 236757871010 307785232313 473515742020 615570464626 1231140929252 1538926161565 3077852323130 6155704646260