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2083874885424 = 243323446346993
BaseRepresentation
bin11110010100110000100…
…111110100111100110000
321101012211211020111111000
4132110300213310330300
5233120233432313144
64233152514522000
7303361235160513
oct36246047647460
97335754214430
102083874885424
11733848056712
12297a51596300
1312167c3c29a7
1472c080d0d7a
153931675a769
hex1e5309f4f30

2083874885424 has 160 divisors (see below), whose sum is σ = 6243088988160. Its totient is φ = 664260867072.

The previous prime is 2083874885423. The next prime is 2083874885527. The reversal of 2083874885424 is 4245884783802.

2083874885424 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 8 + 7 + 4 + 88 + 542 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2083874885423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44320872 + ... + 44367864.

It is an arithmetic number, because the mean of its divisors is an integer number (39019306176).

Almost surely, 22083874885424 is an apocalyptic number.

2083874885424 is a gapful number since it is divisible by the number (24) 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 2083874885424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121544494080).

2083874885424 is an abundant number, since it is smaller than the sum of its proper divisors (4159214102736).

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

2083874885424 is a wasteful number, since it uses less digits than its factorization.

2083874885424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51496 (or 51484 counting only the distinct ones).

The product of its (nonzero) digits is 110100480, while the sum is 63.

The spelling of 2083874885424 in words is "two trillion, eighty-three billion, eight hundred seventy-four million, eight hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4463 4968 8926 9936 13389 17852 26778 35704 40167 46993 53556 71408 80334 93986 102649 107112 120501 140979 160668 187972 205298 214224 241002 281958 307947 321336 375944 410596 422937 482004 563916 615894 642672 751888 821192 845874 923841 964008 1080839 1127832 1231788 1268811 1642384 1691748 1847682 1928016 2161678 2255664 2463576 2537622 2771523 3242517 3383496 3695364 4323356 4927152 5075244 5543046 6485034 6766992 7390728 8646712 9727551 10150488 11086092 12970068 14781456 17293424 19455102 20300976 22172184 25940136 29182653 38910204 44344368 51880272 58365306 77820408 116730612 155640816 209729759 233461224 419459518 466922448 629189277 838919036 1258378554 1677838072 1887567831 2516757108 3355676144 3775135662 4823784457 5033514216 5662703493 7550271324 9647568914 10067028432 11325406986 14471353371 15100542648 19295137828 22650813972 28942706742 30201085296 38590275656 43414060113 45301627944 57885413484 77180551312 86828120226 90603255888 115770826968 130242180339 173656240452 231541653936 260484360678 347312480904 520968721356 694624961808 1041937442712 2083874885424