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42074634102260 = 22541167373823723
BaseRepresentation
bin10011001000100010000111…
…00111101010010111110100
312111222021222121000002101012
421210101003213222113310
521003322322312233020
6225252453045051352
711601535440666464
oct1144210347522764
9174867877002335
1042074634102260
1112451830081601
1248764199b6b58
131a6280c373a06
14a565cd1d7ba4
154ce6d00877c5
hex2644439ea5f4

42074634102260 has 96 divisors (see below), whose sum is σ = 91297983313152. Its totient is φ = 16277273902080.

The previous prime is 42074634102233. The next prime is 42074634102269. The reversal of 42074634102260 is 6220143647024.

It is a super-2 number, since 2×420746341022602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42074634102269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50666759 + ... + 51490481.

It is an arithmetic number, because the mean of its divisors is an integer number (951020659512).

Almost surely, 242074634102260 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 42074634102260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45648991656576).

42074634102260 is an abundant number, since it is smaller than the sum of its proper divisors (49223349210892).

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

42074634102260 is a wasteful number, since it uses less digits than its factorization.

42074634102260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824313 (or 824311 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

Adding to 42074634102260 its reverse (6220143647024), we get a palindrome (48294777749284).

The spelling of 42074634102260 in words is "forty-two trillion, seventy-four billion, six hundred thirty-four million, one hundred two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 167 205 334 373 410 668 746 820 835 1492 1670 1865 3340 3730 6847 7460 13694 15293 27388 30586 34235 61172 62291 68470 76465 124582 136940 152930 249164 305860 311455 622910 823723 1245820 1647446 2553931 3294892 4118615 5107862 8237230 10215724 12769655 16474460 25539310 33772643 51078620 67545286 135090572 137561741 168863215 275123482 307248679 337726430 550246964 614497358 675452860 687808705 1228994716 1375617410 1536243395 2751234820 3072486790 5640031381 6144973580 11280062762 12597195839 22560125524 25194391678 28200156905 50388783356 51310529393 56400313810 62985979195 102621058786 112800627620 125971958390 205242117572 251943916780 256552646965 513105293930 1026210587860 2103731705113 4207463410226 8414926820452 10518658525565 21037317051130 42074634102260