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42203259392 = 297212972
BaseRepresentation
bin100111010011100000…
…101010001000000000
311000221012212201012012
4213103200222020000
51142413013300032
631215442152052
73022556533400
oct472340521000
9130835781165
1042203259392
1116997704478
128219952628
133c97685648
142085056800
1511701496b2
hex9d382a200

42203259392 has 90 divisors (see below), whose sum is σ = 98166976677. Its totient is φ = 18073165824.

The previous prime is 42203259359. The next prime is 42203259437. The reversal of 42203259392 is 29395230224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 23440834816 + 18762424576 = 153104^2 + 136976^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=145264.

It is a super-2 number, since 2×422032593922 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32538488 + ... + 32539784.

Almost surely, 242203259392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42203259392

42203259392 is an abundant number, since it is smaller than the sum of its proper divisors (55963717285).

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

42203259392 is an frugal number, since it uses more digits than its factorization.

42203259392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 42203259392 in words is "forty-two billion, two hundred three million, two hundred fifty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1297 1568 1792 2594 3136 3584 5188 6272 9079 10376 12544 18158 20752 25088 36316 41504 63553 72632 83008 127106 145264 166016 254212 290528 332032 508424 581056 664064 1016848 1162112 1682209 2033696 2324224 3364418 4067392 4648448 6728836 8134784 11775463 13457672 16269568 23550926 26915344 32539136 47101852 53830688 82428241 94203704 107661376 164856482 188407408 215322752 329712964 376814816 430645504 659425928 753629632 861291008 1318851856 1507259264 2637703712 3014518528 5275407424 6029037056 10550814848 21101629696 42203259392