Search a number
-
+
19097402732100 = 223552721117199431
BaseRepresentation
bin1000101011110011101011…
…11001111110111001000100
32111121200201211110112200000
410111321311321332321010
510000342440044411400
6104341120430121300
74010512304566500
oct425716571767104
974550654415600
1019097402732100
1160a3187a79450
122185255650230
13a86b53700424
144a0467d45300
15231b79818600
hex115e75e7ee44

19097402732100 has 2592 divisors, whose sum is σ = 84024022118400. Its totient is φ = 3707472384000.

The previous prime is 19097402732087. The next prime is 19097402732129. The reversal of 19097402732100 is 123720479091.

19097402732100 is a `hidden beast` number, since 1 + 90 + 97 + 402 + 73 + 2 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×190974027321002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 44309518885 + ... + 44309519315.

It is an arithmetic number, because the mean of its divisors is an integer number (32416675200).

Almost surely, 219097402732100 is an apocalyptic number.

19097402732100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19097402732100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42012011059200).

19097402732100 is an abundant number, since it is smaller than the sum of its proper divisors (64926619386300).

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

19097402732100 is a wasteful number, since it uses less digits than its factorization.

19097402732100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 19097402732100 in words is "nineteen trillion, ninety-seven billion, four hundred two million, seven hundred thirty-two thousand, one hundred".