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242662506235350 = 235210727767544501
BaseRepresentation
bin110111001011001101000100…
…011111000000010111010110
31011211012022100021202201122220
4313023031010133000113112
5223301240303044012400
62220033341050403210
7102053534056100625
oct6713150437002726
91154168307681586
10242662506235350
1170357655631543
1223271752430506
13a552c8c7a8986
1443cccdc4bb6bc
151d0c31e3b77a0
hexdcb3447c05d6

242662506235350 has 96 divisors (see below), whose sum is σ = 607450334190336. Its totient is φ = 64102808880000.

The previous prime is 242662506235343. The next prime is 242662506235411. The reversal of 242662506235350 is 53532605266242.

242662506235350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242662506235293 and 242662506235302.

It is a congruent number.

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, 445388100 + ... + 445932600.

It is an arithmetic number, because the mean of its divisors is an integer number (6327607647816).

Almost surely, 2242662506235350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242662506235350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303725167095168).

242662506235350 is an abundant number, since it is smaller than the sum of its proper divisors (364787827954986).

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

242662506235350 is a wasteful number, since it uses less digits than its factorization.

242662506235350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572390 (or 572385 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 51.

The spelling of 242662506235350 in words is "two hundred forty-two trillion, six hundred sixty-two billion, five hundred six million, two hundred thirty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 107 150 214 321 535 642 1070 1605 2675 3210 5350 8025 16050 27767 55534 83301 138835 166602 277670 416505 544501 694175 833010 1089002 1388350 1633503 2082525 2722505 2971069 3267006 4165050 5445010 5942138 8167515 8913207 13612525 14855345 16335030 17826414 27225050 29710690 40837575 44566035 58261607 74276725 81675150 89132070 116523214 148553450 174784821 222830175 291308035 349569642 445660350 582616070 873924105 1456540175 1747848210 2913080350 4369620525 8739241050 15119159267 30238318534 45357477801 75595796335 90714955602 151191592670 226787389005 377978981675 453574778010 755957963350 1133936945025 1617750041569 2267873890050 3235500083138 4853250124707 8088750207845 9706500249414 16177500415690 24266250623535 40443751039225 48532501247070 80887502078450 121331253117675 242662506235350