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2389577341068 = 223417997435143
BaseRepresentation
bin100010110001011101111…
…010001001100010001100
322110102220202100021210000
4202301131322021202030
5303122323244403233
65025431235244300
7334432645160241
oct42613572114214
98412822307700
102389577341068
11841461127275
12327148749690
1314444a76c1b8
148392870b5c8
154225987ad13
hex22c5de8988c

2389577341068 has 120 divisors (see below), whose sum is σ = 6620937013152. Its totient is φ = 748917674496.

The previous prime is 2389577341061. The next prime is 2389577341103. The reversal of 2389577341068 is 8601437759832.

2389577341068 is a `hidden beast` number, since 2 + 3 + 8 + 95 + 7 + 73 + 410 + 68 = 666.

It is a super-2 number, since 2×23895773410682 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2389577340996 and 2389577341014.

It is not an unprimeable number, because it can be changed into a prime (2389577341061) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5273905 + ... + 5709047.

It is a 1-persistent number, because it is pandigital, but 2⋅2389577341068 = 4779154682136 is not.

Almost surely, 22389577341068 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 2389577341068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310468506576).

2389577341068 is an abundant number, since it is smaller than the sum of its proper divisors (4231359672084).

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

2389577341068 is a wasteful number, since it uses less digits than its factorization.

2389577341068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436173 (or 436162 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 2389577341068 in words is "two trillion, three hundred eighty-nine billion, five hundred seventy-seven million, three hundred forty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 997 1377 1836 1994 2754 2991 3988 5508 5982 8973 11964 16949 17946 26919 33898 35892 50847 53838 67796 80757 101694 107676 152541 161514 203388 305082 323028 435143 457623 610164 870286 915246 1305429 1372869 1740572 1830492 2610858 2745738 3916287 5221716 5491476 7397431 7832574 11748861 14794862 15665148 22192293 23497722 29589724 35246583 44384586 46995444 66576879 70493166 88769172 133153758 140986332 199730637 266307516 399461274 433837571 599191911 798922548 867675142 1198383822 1301512713 1735350284 2396767644 2603025426 3904538139 5206050852 7375238707 7809076278 11713614417 14750477414 15618152556 22125716121 23427228834 29500954828 35140843251 44251432242 46854457668 66377148363 70281686502 88502864484 132754296726 140563373004 199131445089 265508593452 398262890178 597394335267 796525780356 1194788670534 2389577341068