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542341607472 = 243272334914703
BaseRepresentation
bin1111110010001100001…
…01000011000000110000
31220211212201102020022200
413321012011003000300
532341203422414342
61053052010503200
754116505413160
oct7710605030060
91824781366280
10542341607472
1119a007775925
1289139134b00
133c1b1382892
141c36c7b05a0
15e192ea994c
hex7e46143030

542341607472 has 240 divisors, whose sum is σ = 1745996249088. Its totient is φ = 153942727680.

The previous prime is 542341607441. The next prime is 542341607519. The reversal of 542341607472 is 274706143245.

542341607472 is a `hidden beast` number, since 5 + 4 + 2 + 34 + 1 + 607 + 4 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115315873 + ... + 115320575.

Almost surely, 2542341607472 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 542341607472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872998124544).

542341607472 is an abundant number, since it is smaller than the sum of its proper divisors (1203654641616).

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

542341607472 is a wasteful number, since it uses less digits than its factorization.

542341607472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 542341607472 in words is "five hundred forty-two billion, three hundred forty-one million, six hundred seven thousand, four hundred seventy-two".