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52605358398720 = 283453141617647
BaseRepresentation
bin10111111011000001000111…
…01100110101110100000000
320220021000121212122000210000
423331200203230311310000
523343341233222224340
6303514322405440000
714036416551416001
oct1375404354656400
9226230555560700
1052605358398720
1115841897440766
125a97330110000
132347882aaa37a
14cdc181c551a8
156135bd108d30
hex2fd823b35d00

52605358398720 has 1440 divisors, whose sum is σ = 199673426405376. Its totient is φ = 13202561433600.

The previous prime is 52605358398701. The next prime is 52605358398739. The reversal of 52605358398720 is 2789385350625.

52605358398720 is a `hidden beast` number, since 5 + 2 + 6 + 0 + 535 + 8 + 3 + 98 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52605358398701) and next prime (52605358398739).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 81306581437 + ... + 81306582083.

Almost surely, 252605358398720 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 52605358398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99836713202688).

52605358398720 is an abundant number, since it is smaller than the sum of its proper divisors (147068068006656).

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

52605358398720 is a wasteful number, since it uses less digits than its factorization.

52605358398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 52605358398720 in words is "fifty-two trillion, six hundred five billion, three hundred fifty-eight million, three hundred ninety-eight thousand, seven hundred twenty".