Search a number
-
+
542602331010 = 23451117599713
BaseRepresentation
bin1111110010101011001…
…11101000001110000010
31220212112220000100210000
413321111213220032002
532342222144043020
61053133523020430
754126122500125
oct7712547501602
91825486010700
10542602331010
1119a130963323
12891b050a716
133c2233ab26c
141c39527c3bc
15e1aad0b090
hex7e559e8382

542602331010 has 80 divisors (see below), whose sum is σ = 1460305988856. Its totient is φ = 144564175872.

The previous prime is 542602330993. The next prime is 542602331059. The reversal of 542602331010 is 10133206245.

542602331010 is a `hidden beast` number, since 5 + 4 + 2 + 602 + 33 + 10 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 155159573409 + 387442757601 = 393903^2 + 622449^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 604914 + ... + 1204626.

Almost surely, 2542602331010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542602331010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730152994428).

542602331010 is an abundant number, since it is smaller than the sum of its proper divisors (917703657846).

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

542602331010 is a wasteful number, since it uses less digits than its factorization.

542602331010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600849 (or 600840 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 542602331010 its reverse (10133206245), we get a palindrome (552735537255).

The spelling of 542602331010 in words is "five hundred forty-two billion, six hundred two million, three hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1117 2234 3351 5585 6702 10053 11170 16755 20106 30159 33510 50265 60318 90477 100530 150795 180954 301590 452385 599713 904770 1199426 1799139 2998565 3598278 5397417 5997130 8995695 10794834 16192251 17991390 26987085 32384502 48576753 53974170 80961255 97153506 161922510 242883765 485767530 669879421 1339758842 2009638263 3349397105 4019276526 6028914789 6698794210 10048191315 12057829578 18086744367 20096382630 30144573945 36173488734 54260233101 60289147890 90433721835 108520466202 180867443670 271301165505 542602331010