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1929952803968 = 27721111020353
BaseRepresentation
bin11100000101011010001…
…001101011110010000000
320211111112201200121022022
4130011122021223302000
5223110020404211333
64034335202301012
7256302013106450
oct34053211536200
96744481617268
101929952803968
11684541053732
12272055357768
1310ccbc403997
14695a58add60
1535308697c98
hex1c15a26bc80

1929952803968 has 64 divisors (see below), whose sum is σ = 4396174801920. Its totient is φ = 826730004480.

The previous prime is 1929952803949. The next prime is 1929952804001. The reversal of 1929952803968 is 8693082599291.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1381280 + ... + 2401632.

It is an arithmetic number, because the mean of its divisors is an integer number (68690231280).

Almost surely, 21929952803968 is an apocalyptic number.

It is an amenable number.

1929952803968 is an abundant number, since it is smaller than the sum of its proper divisors (2466221997952).

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

1929952803968 is a wasteful number, since it uses less digits than its factorization.

1929952803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022485 (or 1022473 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 71.

The spelling of 1929952803968 in words is "one trillion, nine hundred twenty-nine billion, nine hundred fifty-two million, eight hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 2111 4222 8444 14777 16888 29554 33776 59108 67552 118216 135104 236432 270208 472864 945728 1020353 1891456 2040706 4081412 7142471 8162824 14284942 16325648 28569884 32651296 57139768 65302592 114279536 130605184 228559072 457118144 914236288 2153965183 4307930366 8615860732 15077756281 17231721464 30155512562 34463442928 60311025124 68926885856 120622050248 137853771712 241244100496 275707543424 482488200992 964976401984 1929952803968