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422416804096 = 28748292
BaseRepresentation
bin1100010010110100000…
…00001110100100000000
31111101022221202000012101
412021122000032210000
523410102200212341
6522020002040144
742342611410000
oct6113200164400
91441287660171
10422416804096
11153167301081
1269a4a649054
1330aab936471
1416633440000
15aec4909831
hex625a00e900

422416804096 has 135 divisors (see below), whose sum is σ = 984843591081. Its totient is φ = 180817394688.

The previous prime is 422416804037. The next prime is 422416804127. The reversal of 422416804096 is 690408614224.

The square root of 422416804096 is 649936.

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

It can be written as a sum of positive squares in only one way, i.e., 243183114496 + 179233689600 = 493136^2 + 423360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 509549410 + ... + 509550238.

Almost surely, 2422416804096 is an apocalyptic number.

422416804096 is the 649936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422416804096

422416804096 is an abundant number, since it is smaller than the sum of its proper divisors (562426786985).

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

422416804096 is an frugal number, since it uses more digits than its factorization.

422416804096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 422416804096 in words is "four hundred twenty-two billion, four hundred sixteen million, eight hundred four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 829 896 1372 1568 1658 1792 2401 2744 3136 3316 4802 5488 5803 6272 6632 9604 10976 11606 12544 13264 19208 21952 23212 26528 38416 40621 43904 46424 53056 76832 81242 87808 92848 106112 153664 162484 185696 212224 284347 307328 324968 371392 568694 614656 649936 687241 742784 1137388 1299872 1374482 1485568 1990429 2274776 2599744 2748964 3980858 4549552 4810687 5199488 5497928 7961716 9099104 9621374 10398976 10995856 15923432 18198208 19242748 21991712 31846864 33674809 36396416 38485496 43983424 63693728 67349618 72792832 76970992 87966848 127387456 134699236 153941984 175933696 235723663 254774912 269398472 307883968 471447326 509549824 538796944 615767936 942894652 1077593888 1231535872 1650065641 1885789304 2155187776 3300131282 3771578608 4310375552 6600262564 7543157216 8620751104 13200525128 15086314432 26401050256 30172628864 52802100512 60345257728 105604201024 211208402048 422416804096