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1255012400500 = 225347390713669
BaseRepresentation
bin10010010000110100100…
…100010111110101110100
311102222101222020121110021
4102100310210113311310
5131030231133304000
62400313355134524
7156446243251225
oct22206444276564
94388358217407
101255012400500
1144427a8668a1
12183291144444
1391468938691
1444a5882724c
15229a463611a
hex12434917d74

1255012400500 has 96 divisors (see below), whose sum is σ = 2800186421760. Its totient is φ = 491162313600.

The previous prime is 1255012400497. The next prime is 1255012400513. The reversal of 1255012400500 is 50042105521.

It is a super-2 number, since 2×12550124005002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91807666 + ... + 91821334.

It is an arithmetic number, because the mean of its divisors is an integer number (29168608560).

Almost surely, 21255012400500 is an apocalyptic number.

1255012400500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255012400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400093210880).

1255012400500 is an abundant number, since it is smaller than the sum of its proper divisors (1545174021260).

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

1255012400500 is a wasteful number, since it uses less digits than its factorization.

1255012400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17642 (or 17630 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 1255012400500 in words is "one trillion, two hundred fifty-five billion, twelve million, four hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 470 500 940 1175 2350 3907 4700 5875 7814 11750 13669 15628 19535 23500 27338 39070 54676 68345 78140 97675 136690 183629 195350 273380 341725 367258 390700 488375 642443 683450 734516 918145 976750 1284886 1366900 1708625 1836290 1953500 2569772 3212215 3417250 3672580 4590725 6424430 6834500 9181450 12848860 16061075 18362900 22953625 32122150 45907250 53404783 64244300 80305375 91814500 106809566 160610750 213619132 267023915 321221500 534047830 1068095660 1335119575 2510024801 2670239150 5020049602 5340478300 6675597875 10040099204 12550124005 13351195750 25100248010 26702391500 50200496020 62750620025 125501240050 251002480100 313753100125 627506200250 1255012400500