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412316066600 = 235229320922153
BaseRepresentation
bin1011111111111111111…
…00111110001100101000
31110102021000102101012122
411333333330332030220
523223410403112400
6513225420130412
741534401511504
oct5777774761450
91412230371178
10412316066600
11149953741539
1267aab996a08
132cb5c107909
1415d55b77304
15aad2c9d685
hex5ffff3e328

412316066600 has 96 divisors (see below), whose sum is σ = 992045043000. Its totient is φ = 159182499840.

The previous prime is 412316066467. The next prime is 412316066621. The reversal of 412316066600 is 6660613214.

It can be written as a sum of positive squares in 12 ways, for example, as 185449924 + 412130616676 = 13618^2 + 641974^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18601124 + ... + 18623276.

Almost surely, 2412316066600 is an apocalyptic number.

412316066600 is a gapful number since it is divisible by the number (40) 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 412316066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496022521500).

412316066600 is an abundant number, since it is smaller than the sum of its proper divisors (579728976400).

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

412316066600 is a wasteful number, since it uses less digits than its factorization.

412316066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25407 (or 25398 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

Adding to 412316066600 its reverse (6660613214), we get a palindrome (418976679814).

The spelling of 412316066600 in words is "four hundred twelve billion, three hundred sixteen million, sixty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 3209 5800 6418 12836 16045 22153 25672 32090 44306 64180 80225 88612 93061 110765 128360 160450 177224 186122 221530 320900 372244 443060 465305 553825 641800 642437 744488 886120 930610 1107650 1284874 1861220 2215300 2326525 2569748 3212185 3722440 4430600 4653050 5139496 6424370 9306100 12848740 16060925 18612200 25697480 32121850 64243700 71088977 128487400 142177954 284355908 355444885 568711816 710889770 1421779540 1777224425 2061580333 2843559080 3554448850 4123160666 7108897700 8246321332 10307901665 14217795400 16492642664 20615803330 41231606660 51539508325 82463213320 103079016650 206158033300 412316066600