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19426971260970 = 23557131923201037
BaseRepresentation
bin1000110101011001100011…
…01110001001100000101010
32112210012102000210110200000
410122230301232021200222
510021242414120322340
6105152343303323430
74043360313062520
oct432546156114052
975705360713600
1019426971260970
11620aa288a9069
1222190b1450576
13aabc563b4060
144b23b0098310
1523a517cc2d30
hex11ab31b8982a

19426971260970 has 768 divisors, whose sum is σ = 70812724469760. Its totient is φ = 3714296103936.

The previous prime is 19426971260953. The next prime is 19426971260971. The reversal of 19426971260970 is 7906217962491.

19426971260970 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 6 + 9 + 7 + 12 + 609 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 19426971260898 and 19426971260907.

It is not an unprimeable number, because it can be changed into a prime (19426971260971) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 96533292 + ... + 96734328.

It is an arithmetic number, because the mean of its divisors is an integer number (92204068320).

Almost surely, 219426971260970 is an apocalyptic number.

19426971260970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19426971260970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35406362234880).

19426971260970 is an abundant number, since it is smaller than the sum of its proper divisors (51385753208790).

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

19426971260970 is a wasteful number, since it uses less digits than its factorization.

19426971260970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201121 (or 201109 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 19426971260970 in words is "nineteen trillion, four hundred twenty-six billion, nine hundred seventy-one million, two hundred sixty thousand, nine hundred seventy".