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1968876147468 = 22353129715311559
BaseRepresentation
bin11100101001101010001…
…010011101001100001100
320222020000100211022202010
4130221222022131030030
5224224224243204333
64104253400501220
7262150405060146
oct34515212351414
96866010738663
101968876147468
11699aa529080a
122796b877a810
131138833b9799
146b419097c96
15363358aa563
hex1ca6a29d30c

1968876147468 has 96 divisors (see below), whose sum is σ = 4690399633920. Its totient is φ = 642580024320.

The previous prime is 1968876147443. The next prime is 1968876147559. The reversal of 1968876147468 is 8647416788691.

It is a super-2 number, since 2×19688761474682 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1968876147468.

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 31 ways as a sum of consecutive naturals, for example, 1262908873 + ... + 1262910431.

It is an arithmetic number, because the mean of its divisors is an integer number (48858329520).

Almost surely, 21968876147468 is an apocalyptic number.

It is an amenable number.

1968876147468 is an abundant number, since it is smaller than the sum of its proper divisors (2721523486452).

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

1968876147468 is a wasteful number, since it uses less digits than its factorization.

1968876147468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4445 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 75.

The spelling of 1968876147468 in words is "one trillion, nine hundred sixty-eight billion, eight hundred seventy-six million, one hundred forty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 1297 1531 1559 2594 3062 3118 3891 4593 4677 5188 6124 6236 7782 9186 9354 15564 18372 18708 68741 81143 82627 137482 162286 165254 206223 243429 247881 274964 324572 330508 412446 486858 495762 824892 973716 991524 1985707 2022023 2386829 3971414 4044046 4773658 5957121 6066069 7160487 7942828 8088092 9547316 11914242 12132138 14320974 23828484 24264276 28641948 105242471 107167219 126501937 210484942 214334438 253003874 315727413 321501657 379505811 420969884 428668876 506007748 631454826 643003314 759011622 1262909652 1286006628 1518023244 3095717213 6191434426 9287151639 12382868852 18574303278 37148606556 164073012289 328146024578 492219036867 656292049156 984438073734 1968876147468