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2420843241168 = 2433111993255613
BaseRepresentation
bin100011001110100101100…
…000000101111011010000
322120102121201122120122000
4203032211200011323100
5304130341332204133
65052041532114000
7336620516014032
oct43164540057320
98512551576560
102420843241168
11853745997830
12331213605900
131473911900c1
1485252d1bc52
1542e896ab413
hex233a5805ed0

2420843241168 has 160 divisors (see below), whose sum is σ = 7584251422080. Its totient is φ = 733217909760.

The previous prime is 2420843241127. The next prime is 2420843241181. The reversal of 2420843241168 is 8611423480242.

2420843241168 is a `hidden beast` number, since 2 + 4 + 208 + 4 + 324 + 116 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9342930 + ... + 9598542.

It is an arithmetic number, because the mean of its divisors is an integer number (47401571388).

Almost surely, 22420843241168 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 2420843241168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792125711040).

2420843241168 is an abundant number, since it is smaller than the sum of its proper divisors (5163408180912).

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

2420843241168 is a wasteful number, since it uses less digits than its factorization.

2420843241168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257634 (or 257622 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2420843241168 in words is "two trillion, four hundred twenty billion, eight hundred forty-three million, two hundred forty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 1993 2376 3986 4752 5979 7972 11958 15944 17937 21923 23916 31888 35874 43846 47832 53811 65769 71748 87692 95664 107622 131538 143496 175384 197307 215244 255613 263076 286992 350768 394614 430488 511226 526152 591921 766839 789228 860976 1022452 1052304 1183842 1533678 1578456 2044904 2300517 2367684 2811743 3067356 3156912 4089808 4601034 4735368 5623486 6134712 6901551 8435229 9202068 9470736 11246972 12269424 13803102 16870458 18404136 22493944 25305687 27606204 33740916 36808272 44987888 50611374 55212408 67481832 75917061 101222748 110424816 134963664 151834122 202445496 303668244 404890992 509436709 607336488 1018873418 1214672976 1528310127 2037746836 3056620254 4075493672 4584930381 5603803799 6113240508 8150987344 9169860762 11207607598 12226481016 13754791143 16811411397 18339721524 22415215196 24452962032 27509582286 33622822794 36679443048 44830430392 50434234191 55019164572 67245645588 73358886096 89660860784 100868468382 110038329144 134491291176 151302702573 201736936764 220076658288 268982582352 302605405146 403473873528 605210810292 806947747056 1210421620584 2420843241168