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1001720872672 = 251317532672567
BaseRepresentation
bin11101001001110110011…
…01110111111011100000
310112202121122112210222221
432210323031313323200
5112403011020411142
62044103442440424
7132241401633352
oct16447315677340
93482548483887
101001720872672
11356911355013
12142182363114
13736009727b0
14366aac030d2
151b0cc88e767
hexe93b377ee0

1001720872672 has 96 divisors (see below), whose sum is σ = 2291203236672. Its totient is φ = 426926383104.

The previous prime is 1001720872661. The next prime is 1001720872721. The reversal of 1001720872672 is 2762780271001.

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, 961468 + ... + 1711099.

It is an arithmetic number, because the mean of its divisors is an integer number (23866700382).

Almost surely, 21001720872672 is an apocalyptic number.

It is an amenable number.

1001720872672 is an abundant number, since it is smaller than the sum of its proper divisors (1289482364000).

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

1001720872672 is a wasteful number, since it uses less digits than its factorization.

1001720872672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672660 (or 2672652 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 43.

The spelling of 1001720872672 in words is "one trillion, one billion, seven hundred twenty million, eight hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 53 68 104 106 136 208 212 221 272 416 424 442 544 689 848 884 901 1378 1696 1768 1802 2756 3536 3604 5512 7072 7208 11024 11713 14416 22048 23426 28832 46852 93704 187408 374816 2672567 5345134 10690268 21380536 34743371 42761072 45433639 69486742 85522144 90867278 138973484 141646051 181734556 277946968 283292102 363469112 555893936 566584204 590637307 726938224 1111787872 1133168408 1181274614 1453876448 1841398663 2266336816 2362549228 2407982867 3682797326 4532673632 4725098456 4815965734 7365594652 9450196912 9631931468 14731189304 18900393824 19263862936 29462378608 31303777271 38527725872 58924757216 62607554542 77055451744 125215109084 250430218168 500860436336 1001720872672