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405425092900 = 225241215532
BaseRepresentation
bin1011110011001010011…
…01111111100100100100
31102202110202211122101111
411321211031333210210
523120302310433100
6510125534434404
741201545300252
oct5714515774444
91382422748344
10405425092900
11146a37993a53
12666a8062a04
132c301585a99
14158a08bb5d2
15a82cd1d6ba
hex5e6537f924

405425092900 has 81 divisors (see below), whose sum is σ = 902334705433. Its totient is φ = 158112793600.

The previous prime is 405425092861. The next prime is 405425092913. The reversal of 405425092900 is 9290524504.

The square root of 405425092900 is 636730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 349202992356 + 56222100544 = 590934^2 + 237112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 261058524 + ... + 261060076.

Almost surely, 2405425092900 is an apocalyptic number.

405425092900 is the 636730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405425092900

405425092900 is an abundant number, since it is smaller than the sum of its proper divisors (496909612533).

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

405425092900 is an equidigital number, since it uses as much as digits as its factorization.

405425092900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 405425092900 in words is "four hundred five billion, four hundred twenty-five million, ninety-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1553 1681 2050 3106 3362 4100 6212 6724 7765 8405 15530 16810 31060 33620 38825 42025 63673 77650 84050 127346 155300 168100 254692 318365 636730 1273460 1591825 2411809 2610593 3183650 4823618 5221186 6367300 9647236 10442372 12059045 13052965 24118090 26105930 48236180 52211860 60295225 65264825 98884169 120590450 130529650 197768338 241180900 261059300 395536676 494420845 988841690 1977683380 2472104225 4054250929 4944208450 8108501858 9888416900 16217003716 20271254645 40542509290 81085018580 101356273225 202712546450 405425092900