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242796649536 = 2632744192
BaseRepresentation
bin1110001000011111001…
…1101101110001000000
3212012200220201201221100
43202013303231301000
512434221420241121
6303312250454400
723353504320000
oct3420763556100
9765626651840
10242796649536
1193a73419451
123b080134400
1319b848c793c
14ba73c80000
1564b0733026
hex3887cedc40

242796649536 has 315 divisors, whose sum is σ = 813815511431. Its totient is φ = 69204909312.

The previous prime is 242796649531. The next prime is 242796649559. The reversal of 242796649536 is 635946697242.

The square root of 242796649536 is 492744.

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

242796649536 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 96 + 6 + 4 + 9 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242796649531) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 579466735 + ... + 579467153.

Almost surely, 2242796649536 is an apocalyptic number.

242796649536 is the 492744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242796649536

242796649536 is an abundant number, since it is smaller than the sum of its proper divisors (571018861895).

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

242796649536 is an frugal number, since it uses more digits than its factorization.

242796649536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 431 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 242796649536 in words is "two hundred forty-two billion, seven hundred ninety-six million, six hundred forty-nine thousand, five hundred thirty-six".