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42438472818 = 2373172295297
BaseRepresentation
bin100111100001100001…
…111011010001110010
311001112121110210100120
4213201201323101302
51143403222112233
631255043431110
73031444032000
oct474141732162
9131477423316
1042438472818
1116aa8458835
128284685496
13400431b8a1
1420a83a3a70
151185b0c4b3
hex9e187b472

42438472818 has 128 divisors (see below), whose sum is σ = 105281856000. Its totient is φ = 11360047104.

The previous prime is 42438472807. The next prime is 42438472829. The reversal of 42438472818 is 81827483424.

42438472818 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42438472807) and next prime (42438472829).

It is a super-2 number, since 2×424384728182 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8009146 + ... + 8014442.

It is an arithmetic number, because the mean of its divisors is an integer number (822514500).

Almost surely, 242438472818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42438472818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52640928000).

42438472818 is an abundant number, since it is smaller than the sum of its proper divisors (62843383182).

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

42438472818 is a wasteful number, since it uses less digits than its factorization.

42438472818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569 (or 5555 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 51.

The spelling of 42438472818 in words is "forty-two billion, four hundred thirty-eight million, four hundred seventy-two thousand, eight hundred eighteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 229 238 294 343 357 458 686 687 714 833 1029 1374 1603 1666 2058 2499 3206 3893 4809 4998 5297 5831 7786 9618 10594 11221 11662 11679 15891 17493 22442 23358 27251 31782 33663 34986 37079 54502 67326 74158 78547 81753 90049 111237 157094 163506 180098 190757 222474 235641 259553 270147 381514 471282 519106 540294 572271 630343 778659 1144542 1213013 1260686 1335299 1557318 1816871 1891029 2426026 2670598 3633742 3639039 3782058 4005897 4412401 5450613 7278078 8011794 8491091 8824802 10901226 13237203 16982182 20621221 25473273 26474406 30886807 41242442 50946546 59437637 61773614 61863663 92660421 118875274 123727326 144348547 178312911 185320842 288697094 356625822 416063459 433045641 832126918 866091282 1010439829 1248190377 2020879658 2496380754 3031319487 6062638974 7073078803 14146157606 21219236409 42438472818