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42685763328 = 2832131425139
BaseRepresentation
bin100111110000010001…
…010000111100000000
311002011211210110011100
4213300101100330000
51144410023411303
631335400014400
73040536000405
oct476021207400
9132154713140
1042685763328
111711500085a
128333461400
134043622c30
1420cd1762ac
15119c6a88a3
hex9f0450f00

42685763328 has 108 divisors (see below), whose sum is σ = 132540870280. Its totient is φ = 13134071808.

The previous prime is 42685763327. The next prime is 42685763347. The reversal of 42685763328 is 82336758624.

42685763328 is a `hidden beast` number, since 4 + 2 + 68 + 576 + 3 + 3 + 2 + 8 = 666.

It is a super-3 number, since 3×426857633283 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42685763321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 682618 + ... + 742521.

Almost surely, 242685763328 is an apocalyptic number.

42685763328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42685763328 is an abundant number, since it is smaller than the sum of its proper divisors (89855106952).

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

42685763328 is a wasteful number, since it uses less digits than its factorization.

42685763328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425174 (or 1425157 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 42685763328 in words is "forty-two billion, six hundred eighty-five million, seven hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 1425139 2850278 4275417 5700556 8550834 11401112 12826251 17101668 18526807 22802224 25652502 34203336 37053614 45604448 51305004 55580421 68406672 74107228 91208896 102610008 111160842 136813344 148214456 166741263 182417792 205220016 222321684 273626688 296428912 333482526 364835584 410440032 444643368 547253376 592857824 666965052 820880064 889286736 1094506752 1185715648 1333930104 1641760128 1778573472 2371431296 2667860208 3283520256 3557146944 4742862592 5335720416 7114293888 10671440832 14228587776 21342881664 42685763328