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50401042600 = 2352619374409
BaseRepresentation
bin101110111100001000…
…101110000010101000
311211002112110020122111
4232330020232002220
51311210131330400
635053125132104
73432661536106
oct567410560250
9154075406574
1050401042600
111a414090317
12992725a034
1349a2b87a3c
142621ac6c76
15149ebb23ba
hexbbc22e0a8

50401042600 has 96 divisors (see below), whose sum is σ = 119257601400. Its totient is φ = 19804262400.

The previous prime is 50401042583. The next prime is 50401042603. The reversal of 50401042600 is 624010405.

It can be written as a sum of positive squares in 12 ways, for example, as 15229040836 + 35172001764 = 123406^2 + 187542^2 .

It is not an unprimeable number, because it can be changed into a prime (50401042603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11429196 + ... + 11433604.

Almost surely, 250401042600 is an apocalyptic number.

50401042600 is a gapful number since it is divisible by the number (50) 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 50401042600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59628800700).

50401042600 is an abundant number, since it is smaller than the sum of its proper divisors (68856558800).

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

50401042600 is a wasteful number, since it uses less digits than its factorization.

50401042600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 50401042600 in words is "fifty billion, four hundred one million, forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 937 1220 1525 1874 2440 3050 3748 4409 4685 6100 7496 8818 9370 12200 17636 18740 22045 23425 35272 37480 44090 46850 57157 88180 93700 110225 114314 176360 187400 220450 228628 268949 285785 440900 457256 537898 571570 881800 1075796 1143140 1344745 1428925 2151592 2286280 2689490 2857850 4131233 5378980 5715700 6723725 8262466 10757960 11431400 13447450 16524932 20656165 26894900 33049864 41312330 53789800 82624660 103280825 165249320 206561650 252005213 413123300 504010426 826246600 1008020852 1260026065 2016041704 2520052130 5040104260 6300130325 10080208520 12600260650 25200521300 50401042600