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42467239416 = 233719107124339
BaseRepresentation
bin100111100011001111…
…101010010111111000
311001121121121021201010
4213203033222113320
51143433103130131
631301552153520
73032243402430
oct474317522770
9131547537633
1042467239416
1117012716588
1282922388a0
13400a281344
1420ac1312c0
1511883e0b46
hex9e33ea5f8

42467239416 has 128 divisors (see below), whose sum is σ = 128915712000. Its totient is φ = 11387371392.

The previous prime is 42467239411. The next prime is 42467239429. The reversal of 42467239416 is 61493276424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42467239411) 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, 279375 + ... + 403713.

It is an arithmetic number, because the mean of its divisors is an integer number (1007154000).

Almost surely, 242467239416 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 42467239416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64457856000).

42467239416 is an abundant number, since it is smaller than the sum of its proper divisors (86448472584).

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

42467239416 is a wasteful number, since it uses less digits than its factorization.

42467239416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124481 (or 124477 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 42467239416 in words is "forty-two billion, four hundred sixty-seven million, two hundred thirty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 107 114 133 152 168 214 228 266 321 399 428 456 532 642 749 798 856 1064 1284 1498 1596 2033 2247 2568 2996 3192 4066 4494 5992 6099 8132 8988 12198 14231 16264 17976 24396 28462 42693 48792 56924 85386 113848 124339 170772 248678 341544 373017 497356 746034 870373 994712 1492068 1740746 2362441 2611119 2984136 3481492 4724882 5222238 6962984 7087323 9449764 10444476 13304273 14174646 16537087 18899528 20888952 26608546 28349292 33074174 39912819 49611261 53217092 56698584 66148348 79825638 93129911 99222522 106434184 132296696 159651276 186259822 198445044 252781187 279389733 319302552 372519644 396890088 505562374 558779466 745039288 758343561 1011124748 1117558932 1516687122 1769468309 2022249496 2235117864 3033374244 3538936618 5308404927 6066748488 7077873236 10616809854 14155746472 21233619708 42467239416