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2159394982144 = 2829231672
BaseRepresentation
bin11111011011000101111…
…110001000100100000000
321122102202221121220111021
4133123011332020210000
5240334420103412034
64332002400355224
7312003551332561
oct37330576104400
97572687556437
102159394982144
11762881199094
122aa609015b14
1312882636945a
147672dcb2168
153b2867aa6b4
hex1f6c5f88900

2159394982144 has 81 divisors (see below), whose sum is σ = 4465523042617. Its totient is φ = 1042137377792.

The previous prime is 2159394982123. The next prime is 2159394982193. The reversal of 2159394982144 is 4412894939512.

The square root of 2159394982144 is 1469488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1132334348544 + 1027060633600 = 1064112^2 + 1013440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 681840849 + ... + 681844015.

Almost surely, 22159394982144 is an apocalyptic number.

2159394982144 is the 1469488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2159394982144

2159394982144 is an abundant number, since it is smaller than the sum of its proper divisors (2306128060473).

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

2159394982144 is an frugal number, since it uses more digits than its factorization.

2159394982144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 3198 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 61.

The spelling of 2159394982144 in words is "two trillion, one hundred fifty-nine billion, three hundred ninety-four million, nine hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 1682 1856 3167 3364 3712 6334 6728 7424 12668 13456 25336 26912 50672 53824 91843 101344 107648 183686 202688 215296 367372 405376 734744 810752 1469488 2663447 2938976 5326894 5877952 10029889 10653788 11755904 20059778 21307576 23511808 40119556 42615152 80239112 85230304 160478224 170460608 290866781 320956448 340921216 581733562 641912896 681842432 1163467124 1283825792 2326934248 2567651584 4653868496 8435136649 9307736992 16870273298 18615473984 33740546596 37230947968 67481093192 74461895936 134962186384 269924372768 539848745536 1079697491072 2159394982144