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154164422104 = 23721174348119
BaseRepresentation
bin1000111110010011101…
…0100110010111011000
3112201220222120002001021
42033210322212113120
510011212043001404
6154453330332224
714065223652400
oct2174472462730
9481828502037
10154164422104
115a420885110
1225a6542a074
13116cb27c354
1476668a5800
1540244d2454
hex23e4ea65d8

154164422104 has 96 divisors (see below), whose sum is σ = 367321132800. Its totient is φ = 59981974080.

The previous prime is 154164422081. The next prime is 154164422131. The reversal of 154164422104 is 401224461451.

It is a self number, because there is not a number n which added to its sum of digits gives 154164422104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3179757 + ... + 3227875.

It is an arithmetic number, because the mean of its divisors is an integer number (3826261800).

Almost surely, 2154164422104 is an apocalyptic number.

154164422104 is a gapful number since it is divisible by the number (14) 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 154164422104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183660566400).

154164422104 is an abundant number, since it is smaller than the sum of its proper divisors (213156710696).

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

154164422104 is a wasteful number, since it uses less digits than its factorization.

154164422104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48893 (or 48882 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 154164422104 its reverse (401224461451), we get a palindrome (555388883555).

The spelling of 154164422104 in words is "one hundred fifty-four billion, one hundred sixty-four million, four hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 743 1078 1486 2156 2972 4312 5201 5944 8173 10402 16346 20804 32692 36407 41608 48119 57211 65384 72814 96238 114422 145628 192476 228844 291256 336833 384952 400477 457688 529309 673666 800954 1058618 1347332 1601908 2117236 2357831 2694664 3203816 3705163 4234472 4715662 7410326 9431324 14820652 18862648 25936141 29641304 35752417 51872282 71504834 103744564 143009668 207489128 250266919 286019336 393276587 500533838 786553174 1001067676 1573106348 1751868433 2002135352 2752936109 3146212696 3503736866 5505872218 7007473732 11011744436 14014947464 19270552763 22023488872 38541105526 77082211052 154164422104