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2166006457340 = 2251119518183363
BaseRepresentation
bin11111100001010000000…
…010111010001111111100
321200001211201021122102222
4133201100002322033330
5240441440123113330
64335014415304512
7312326442052505
oct37412002721774
97601751248388
102166006457340
117656641a5280
122ab95321b138
1312933b01ac5b
1476b99db3bac
153b521e2b0e5
hex1f8500ba3fc

2166006457340 has 48 divisors (see below), whose sum is σ = 5223288309120. Its totient is φ = 746184041280.

The previous prime is 2166006457313. The next prime is 2166006457357. The reversal of 2166006457340 is 437546006612.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2166006457291 and 2166006457300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259087502 + ... + 259095861.

It is an arithmetic number, because the mean of its divisors is an integer number (108818506440).

Almost surely, 22166006457340 is an apocalyptic number.

2166006457340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166006457340 is an abundant number, since it is smaller than the sum of its proper divisors (3057281851780).

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

2166006457340 is a wasteful number, since it uses less digits than its factorization.

2166006457340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518183402 (or 518183400 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 2166006457340 in words is "two trillion, one hundred sixty-six billion, six million, four hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 518183363 1036366726 2072733452 2590916815 5181833630 5700016993 9845483897 10363667260 11400033986 19690967794 22800067972 28500084965 39381935588 49227419485 57000169930 98454838970 108300322867 114000339860 196909677940 216600645734 433201291468 541501614335 1083003228670 2166006457340