Search a number
-
+
2557881123732 = 2233114874421147
BaseRepresentation
bin100101001110001101100…
…110001000001110010100
3100001112100010121022011000
4211032031212020032110
5313402020031424412
65235024021343300
7352541451546324
oct45161546101624
910045303538130
102557881123732
118a6878235230
12353899267b30
1315729017268c
148bb32da5284
154680a31d4dc
hex2538d988394

2557881123732 has 96 divisors (see below), whose sum is σ = 7249267952640. Its totient is φ = 773523704160.

The previous prime is 2557881123697. The next prime is 2557881123739. The reversal of 2557881123732 is 2373211887552.

2557881123732 is a `hidden beast` number, since 2 + 5 + 578 + 8 + 1 + 1 + 2 + 37 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557881123739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632018 + ... + 2789129.

It is an arithmetic number, because the mean of its divisors is an integer number (75513207840).

Almost surely, 22557881123732 is an apocalyptic number.

2557881123732 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2557881123732 is an abundant number, since it is smaller than the sum of its proper divisors (4691386828908).

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

2557881123732 is a wasteful number, since it uses less digits than its factorization.

2557881123732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4421658 (or 4421650 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 2557881123732 in words is "two trillion, five hundred fifty-seven billion, eight hundred eighty-one million, one hundred twenty-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 487 594 974 1188 1461 1948 2922 4383 5357 5844 8766 10714 13149 16071 17532 21428 26298 32142 48213 52596 64284 96426 144639 192852 289278 578556 4421147 8842294 13263441 17684588 26526882 39790323 48632617 53053764 79580646 97265234 119370969 145897851 159161292 194530468 238741938 291795702 437693553 477483876 583591404 875387106 1313080659 1750774212 2153098589 2626161318 4306197178 5252322636 6459295767 8612394356 12918591534 19377887301 23684084479 25837183068 38755774602 47368168958 58133661903 71052253437 77511549204 94736337916 116267323806 142104506874 213156760311 232534647612 284209013748 426313520622 639470280933 852627041244 1278940561866 2557881123732