Search a number
-
+
2857913275840 = 26572574964413
BaseRepresentation
bin101001100101101000111…
…001111101010111000000
3101010012202220000211021221
4221211220321331113000
5333311001244311330
610024523543524424
7413322520012630
oct51455071752700
911105686024257
102857913275840
11a020415a1917
123a1a71459714
1317966684a9ac
149c4764b66c0
154e51a72db7a
hex29968e7d5c0

2857913275840 has 112 divisors (see below), whose sum is σ = 7807871477952. Its totient is φ = 976043114496.

The previous prime is 2857913275837. The next prime is 2857913275871. The reversal of 2857913275840 is 485723197582.

It is a happy number.

2857913275840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×28579132758403 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1906527 + ... + 3057886.

It is an arithmetic number, because the mean of its divisors is an integer number (69713138196).

Almost surely, 22857913275840 is an apocalyptic number.

2857913275840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2857913275840 is an abundant number, since it is smaller than the sum of its proper divisors (4949958202112).

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

2857913275840 is a wasteful number, since it uses less digits than its factorization.

2857913275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964694 (or 4964684 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 61.

The spelling of 2857913275840 in words is "two trillion, eight hundred fifty-seven billion, nine hundred thirteen million, two hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 257 280 320 448 514 560 1028 1120 1285 1799 2056 2240 2570 3598 4112 5140 7196 8224 8995 10280 14392 16448 17990 20560 28784 35980 41120 57568 71960 82240 115136 143920 287840 575680 4964413 9928826 19857652 24822065 34750891 39715304 49644130 69501782 79430608 99288260 139003564 158861216 173754455 198576520 278007128 317722432 347508910 397153040 556014256 695017820 794306080 1112028512 1275854141 1390035640 1588612160 2224057024 2551708282 2780071280 5103416564 5560142560 6379270705 8930978987 10206833128 11120285120 12758541410 17861957974 20413666256 25517082820 35723915948 40827332512 44654894935 51034165640 71447831896 81654665024 89309789870 102068331280 142895663792 178619579740 204136662560 285791327584 357239159480 408273325120 571582655168 714478318960 1428956637920 2857913275840