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42170079384 = 23341812571399
BaseRepresentation
bin100111010001100010…
…000101100010011000
311000211220102222210000
4213101202011202120
51142331020020014
631212255053000
73022004521566
oct472142054230
9130756388700
1042170079384
111697aa01884
12820a811160
133c908390c4
14208089aa36
15116c293509
hex9d1885898

42170079384 has 160 divisors (see below), whose sum is σ = 119315196000. Its totient is φ = 13914685440.

The previous prime is 42170079277. The next prime is 42170079389. The reversal of 42170079384 is 48397007124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42170079389) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30142317 + ... + 30143715.

It is an arithmetic number, because the mean of its divisors is an integer number (745719975).

Almost surely, 242170079384 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 42170079384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59657598000).

42170079384 is an abundant number, since it is smaller than the sum of its proper divisors (77145116616).

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

42170079384 is a wasteful number, since it uses less digits than its factorization.

42170079384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 42170079384 in words is "forty-two billion, one hundred seventy million, seventy-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 181 216 257 324 362 514 543 648 724 771 1028 1086 1399 1448 1542 1629 2056 2172 2313 2798 3084 3258 4197 4344 4626 4887 5596 6168 6516 6939 8394 9252 9774 11192 12591 13032 13878 14661 16788 18504 19548 20817 25182 27756 29322 33576 37773 39096 41634 46517 50364 55512 58644 75546 83268 93034 100728 113319 117288 139551 151092 166536 186068 226638 253219 279102 302184 359543 372136 418653 453276 506438 558204 719086 759657 837306 906552 1012876 1078629 1116408 1255959 1438172 1519314 1674612 2025752 2157258 2278971 2511918 2876344 3038628 3235887 3349224 3767877 4314516 4557942 5023836 6077256 6471774 6836913 7535754 8629032 9115884 9707661 10047672 12943548 13673826 15071508 18231768 19415322 20510739 25887096 27347652 29122983 30143016 38830644 41021478 54695304 58245966 65077283 77661288 82042956 116491932 130154566 164085912 195231849 232983864 260309132 390463698 520618264 585695547 780927396 1171391094 1561854792 1757086641 2342782188 3514173282 4685564376 5271259923 7028346564 10542519846 14056693128 21085039692 42170079384