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19451496144 = 2433714337643
BaseRepresentation
bin10010000111011001…
…100100011011010000
31212012121102101102010
4102013121210123100
5304314040334034
612534053022520
71256011663203
oct220731443320
955177371363
1019451496144
118281953a53
12392a324a40
131aacb6c442
14d2750593a
1578ca213e9
hex4876646d0

19451496144 has 80 divisors (see below), whose sum is σ = 51650569152. Its totient is φ = 6303366144.

The previous prime is 19451496143. The next prime is 19451496161. The reversal of 19451496144 is 44169415491.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 19451496093 and 19451496102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19451496143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2541187 + ... + 2548829.

Almost surely, 219451496144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19451496144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25825284576).

19451496144 is an abundant number, since it is smaller than the sum of its proper divisors (32199073008).

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

19451496144 is a wasteful number, since it uses less digits than its factorization.

19451496144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9124 (or 9118 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 19451496144 in words is "nineteen billion, four hundred fifty-one million, four hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1433 1776 2866 4299 5732 7643 8598 11464 15286 17196 22928 22929 30572 34392 45858 53021 61144 68784 91716 106042 122288 159063 183432 212084 282791 318126 366864 424168 565582 636252 848336 848373 1131164 1272504 1696746 2262328 2545008 3393492 4524656 6786984 10952419 13573968 21904838 32857257 43809676 65714514 87619352 131429028 175238704 262858056 405239503 525716112 810479006 1215718509 1620958012 2431437018 3241916024 4862874036 6483832048 9725748072 19451496144