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355358405052 = 223272418955207
BaseRepresentation
bin1010010101111010000…
…00101111000110111100
31020222020112112101020100
411022331000233012330
521310233222430202
6431125511521100
734450053414300
oct5127500570674
91228215471210
10355358405052
11127785612382
1258a54989190
1327682a66cc1
14132b138bd00
15939c6a441c
hex52bd02f1bc

355358405052 has 216 divisors, whose sum is σ = 1082455526880. Its totient is φ = 97939860480.

The previous prime is 355358405021. The next prime is 355358405057. The reversal of 355358405052 is 250504853553.

355358405052 is a `hidden beast` number, since 3 + 5 + 53 + 58 + 40 + 505 + 2 = 666.

It is a super-2 number, since 2×3553584050522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 355358404989 and 355358405007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355358405057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6409233 + ... + 6464439.

It is an arithmetic number, because the mean of its divisors is an integer number (5011368180).

Almost surely, 2355358405052 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 355358405052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541227763440).

355358405052 is an abundant number, since it is smaller than the sum of its proper divisors (727097121828).

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

355358405052 is a wasteful number, since it uses less digits than its factorization.

355358405052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55361 (or 55349 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 355358405052 in words is "three hundred fifty-five billion, three hundred fifty-eight million, four hundred five thousand, fifty-two".