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2968001667720 = 2332514955331873
BaseRepresentation
bin101011001100001010101…
…011110110001010001000
3101111201221010202120112100
4223030022223312022020
5342111431411331340
610151251532113400
7424300563630435
oct53141253661210
911451833676470
102968001667720
11a447a4625071
123bb275905860
13186b5c45588b
14a391b308b8c
1552310486830
hex2b30aaf6288

2968001667720 has 96 divisors (see below), whose sum is σ = 9710743887000. Its totient is φ = 786155237376.

The previous prime is 2968001667679. The next prime is 2968001667769. The reversal of 2968001667720 is 277661008692.

It can be written as a sum of positive squares in 4 ways, for example, as 1785254065956 + 1182747601764 = 1336134^2 + 1087542^2 .

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 23 ways as a sum of consecutive naturals, for example, 27612297 + ... + 27719576.

Almost surely, 22968001667720 is an apocalyptic number.

2968001667720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2968001667720 is an abundant number, since it is smaller than the sum of its proper divisors (6742742219280).

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

2968001667720 is a wasteful number, since it uses less digits than its factorization.

2968001667720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55332039 (or 55332032 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2968001667720 in words is "two trillion, nine hundred sixty-eight billion, one million, six hundred sixty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 180 298 360 447 596 745 894 1192 1341 1490 1788 2235 2682 2980 3576 4470 5364 5960 6705 8940 10728 13410 17880 26820 53640 55331873 110663746 165995619 221327492 276659365 331991238 442654984 497986857 553318730 663982476 829978095 995973714 1106637460 1327964952 1659956190 1991947428 2213274920 2489934285 3319912380 3983894856 4979868570 6639824760 8244449077 9959737140 16488898154 19919474280 24733347231 32977796308 41222245385 49466694462 65955592616 74200041693 82444490770 98933388924 123666736155 148400083386 164888981540 197866777848 247333472310 296800166772 329777963080 371000208465 494666944620 593600333544 742000416930 989333889240 1484000833860 2968001667720