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42811187874 = 23713415693361
BaseRepresentation
bin100111110111101111…
…101110001010100010
311002111120210200021220
4213313233232022202
51200134131002444
631400040155510
73043621043550
oct476757561242
9132446720256
1042811187874
1117179888104
128369468b96
1340635c8c40
142101aa4bd0
1511a86d1619
hex9f7bee2a2

42811187874 has 128 divisors (see below), whose sum is σ = 108173560320. Its totient is φ = 10992844800.

The previous prime is 42811187869. The next prime is 42811187893. The reversal of 42811187874 is 47878111824.

It is a happy number.

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, 12735954 + ... + 12739314.

It is an arithmetic number, because the mean of its divisors is an integer number (845105940).

Almost surely, 242811187874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42811187874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54086780160).

42811187874 is an abundant number, since it is smaller than the sum of its proper divisors (65362372446).

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

42811187874 is a wasteful number, since it uses less digits than its factorization.

42811187874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996.

The product of its digits is 802816, while the sum is 51.

The spelling of 42811187874 in words is "forty-two billion, eight hundred eleven million, one hundred eighty-seven thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 533 546 569 574 861 1066 1138 1599 1707 1722 3198 3361 3414 3731 3983 6722 7397 7462 7966 10083 11193 11949 14794 20166 22191 22386 23329 23527 23898 43693 44382 46658 47054 51779 69987 70581 87386 103558 131079 137801 139974 141162 155337 163303 262158 275602 303277 305851 310674 326606 413403 489909 606554 611702 826806 909831 917553 964607 979818 1791413 1819662 1835106 1912409 1929214 2122939 2893821 3582826 3824818 4245878 5374239 5737227 5787642 6368817 10748478 11474454 12539891 12737634 13386863 24861317 25079782 26773726 37619673 40160589 49722634 74583951 75239346 78408769 80321178 149167902 156817538 174029219 235226307 348058438 470452614 522087657 548861383 1019313997 1044175314 1097722766 1646584149 2038627994 3057941991 3293168298 6115883982 7135197979 14270395958 21405593937 42811187874