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42601785604 = 22722326412
BaseRepresentation
bin100111101011010000…
…111010100100000100
311001221222202221101021
4213223100322210010
51144222024114404
631323200040524
73035466126400
oct475320724404
9131858687337
1042601785604
1117081663084
12830b303144
13402c0cc181
1420c1d56100
15119511b454
hex9eb43a904

42601785604 has 81 divisors (see below), whose sum is σ = 90801315381. Its totient is φ = 17436840960.

The previous prime is 42601785601. The next prime is 42601785623. The reversal of 42601785604 is 40658710624.

The square root of 42601785604 is 206402.

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., 38454425604 + 4147360000 = 196098^2 + 64400^2 .

It is not an unprimeable number, because it can be changed into a prime (42601785601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66461124 + ... + 66461764.

Almost surely, 242601785604 is an apocalyptic number.

42601785604 is the 206402-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42601785604

42601785604 is an abundant number, since it is smaller than the sum of its proper divisors (48199529777).

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

42601785604 is an equidigital number, since it uses as much as digits as its factorization.

42601785604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 42601785604 in words is "forty-two billion, six hundred one million, seven hundred eighty-five thousand, six hundred four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 641 644 1058 1127 1282 2116 2254 2564 3703 4487 4508 7406 8974 14743 14812 17948 25921 29486 31409 51842 58972 62818 103201 103684 125636 206402 339089 410881 412804 678178 722407 821762 1356356 1444814 1643524 2373623 2876167 2889628 4747246 5752334 9450263 9494492 11504668 16615361 18900526 20133169 33230722 37801052 40266338 66151841 66461444 80532676 132303682 217356049 264607364 434712098 463062887 869424196 926125774 1521492343 1852251548 3042984686 6085969372 10650446401 21300892802 42601785604