Search a number
-
+
290421912800 = 25523111710561
BaseRepresentation
bin1000011100111100111…
…11101011010011100000
31000202122000001210011202
410032132133223103200
514224241002202200
6341230141300332
726660632346015
oct4163637532340
91022560053152
10290421912800
11102192664658
12483518646a8
13215046859a6
14100b104970c
15784b8921d5
hex439e7eb4e0

290421912800 has 72 divisors (see below), whose sum is σ = 731863282752. Its totient is φ = 112421376000.

The previous prime is 290421912761. The next prime is 290421912811. The reversal of 290421912800 is 8219124092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5830481 + ... + 5880080.

It is an arithmetic number, because the mean of its divisors is an integer number (10164767816).

Almost surely, 2290421912800 is an apocalyptic number.

290421912800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290421912800 is an abundant number, since it is smaller than the sum of its proper divisors (441441369952).

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

290421912800 is a wasteful number, since it uses less digits than its factorization.

290421912800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11710612 (or 11710599 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 290421912800 in words is "two hundred ninety billion, four hundred twenty-one million, nine hundred twelve thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 6200 12400 24800 11710561 23421122 46842244 58552805 93684488 117105610 187368976 234211220 292764025 363027391 374737952 468422440 585528050 726054782 936844880 1171056100 1452109564 1815136955 1873689760 2342112200 2904219128 3630273910 4684224400 5808438256 7260547820 9075684775 9368448800 11616876512 14521095640 18151369550 29042191280 36302739100 58084382560 72605478200 145210956400 290421912800