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1001680861020 = 223574914857341
BaseRepresentation
bin11101001001110001101…
…01001111011101011100
310112202111212021000022220
432210320311033131130
5112402420300023040
62044055453105340
7132240404556330
oct16447065173534
93482455230286
101001680861020
113568a0806734
12142170a88250
13735c55a3868
14366a57897c0
151b0c90d92d0
hexe938d4f75c

1001680861020 has 96 divisors (see below), whose sum is σ = 3211907682816. Its totient is φ = 228489273600.

The previous prime is 1001680861019. The next prime is 1001680861057. The reversal of 1001680861020 is 201680861001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2222451 + ... + 2634890.

It is an arithmetic number, because the mean of its divisors is an integer number (33457371696).

Almost surely, 21001680861020 is an apocalyptic number.

1001680861020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001680861020 is an abundant number, since it is smaller than the sum of its proper divisors (2210226821796).

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

1001680861020 is a wasteful number, since it uses less digits than its factorization.

1001680861020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857851 (or 4857849 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 1001680861020 in words is "one trillion, one billion, six hundred eighty million, eight hundred sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 491 982 1473 1964 2455 2946 3437 4910 5892 6874 7365 9820 10311 13748 14730 17185 20622 29460 34370 41244 51555 68740 103110 206220 4857341 9714682 14572023 19429364 24286705 29144046 34001387 48573410 58288092 68002774 72860115 97146820 102004161 136005548 145720230 170006935 204008322 291440460 340013870 408016644 510020805 680027740 1020041610 2040083220 2384954431 4769908862 7154863293 9539817724 11924772155 14309726586 16694681017 23849544310 28619453172 33389362034 35774316465 47699088620 50084043051 66778724068 71548632930 83473405085 100168086102 143097265860 166946810170 200336172204 250420215255 333893620340 500840430510 1001680861020