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42079278480 = 24353137914923
BaseRepresentation
bin100111001100000111…
…101101010110010000
311000121120120211100120
4213030013231112100
51142134243402410
631155252550240
73016522652121
oct471407552620
9130546524316
1042079278480
1116933723808
1281a4322380
133c77a96765
1420727c2048
151164309570
hex9cc1ed590

42079278480 has 160 divisors (see below), whose sum is σ = 135018024960. Its totient is φ = 10829790720.

The previous prime is 42079278469. The next prime is 42079278499. The reversal of 42079278480 is 8487297024.

It is a super-2 number, since 2×420792784802 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2812299 + ... + 2827221.

It is an arithmetic number, because the mean of its divisors is an integer number (843862656).

Almost surely, 242079278480 is an apocalyptic number.

42079278480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42079278480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67509012480).

42079278480 is an abundant number, since it is smaller than the sum of its proper divisors (92938746480).

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

42079278480 is a wasteful number, since it uses less digits than its factorization.

42079278480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15349 (or 15343 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 42079278480 in words is "forty-two billion, seventy-nine million, two hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 379 465 496 620 744 758 930 1137 1240 1488 1516 1860 1895 2274 2480 3032 3720 3790 4548 5685 6064 7440 7580 9096 11370 11749 14923 15160 18192 22740 23498 29846 30320 35247 44769 45480 46996 58745 59692 70494 74615 89538 90960 93992 117490 119384 140988 149230 176235 179076 187984 223845 234980 238768 281976 298460 352470 358152 447690 462613 469960 563952 596920 704940 716304 895380 925226 939920 1193840 1387839 1409880 1790760 1850452 2313065 2775678 2819760 3581520 3700904 4626130 5551356 5655817 6939195 7401808 9252260 11102712 11311634 13878390 16967451 18504520 22205424 22623268 27756780 28279085 33934902 37009040 45246536 55513560 56558170 67869804 84837255 90493072 111027120 113116340 135739608 169674510 175330327 226232680 271479216 339349020 350660654 452465360 525990981 678698040 701321308 876651635 1051981962 1357396080 1402642616 1753303270 2103963924 2629954905 2805285232 3506606540 4207927848 5259909810 7013213080 8415855696 10519819620 14026426160 21039639240 42079278480