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19446956144 = 2472114994519
BaseRepresentation
bin10010000111001000…
…010000000001110000
31212012021212201200222
4102013020100001300
5304311410044034
612533411432212
71255625254100
oct220710200160
955167781628
1019446956144
11827a332a90
1239288b5668
131aabc3cb55
14d26a83200
1578c42612e
hex487210070

19446956144 has 120 divisors (see below), whose sum is σ = 47921040000. Its totient is φ = 7559879040.

The previous prime is 19446956143. The next prime is 19446956189. The reversal of 19446956144 is 44165964491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19446956143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4301117 + ... + 4305635.

It is an arithmetic number, because the mean of its divisors is an integer number (399342000).

Almost surely, 219446956144 is an apocalyptic number.

19446956144 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 19446956144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23960520000).

19446956144 is an abundant number, since it is smaller than the sum of its proper divisors (28474083856).

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

19446956144 is a wasteful number, since it uses less digits than its factorization.

19446956144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051 (or 5038 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 53.

The spelling of 19446956144 in words is "nineteen billion, four hundred forty-six million, nine hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 499 539 616 784 998 1078 1232 1996 2156 3493 3992 4312 4519 5489 6986 7984 8624 9038 10978 13972 18076 21956 24451 27944 31633 36152 38423 43912 48902 49709 55888 63266 72304 76846 87824 97804 99418 126532 153692 195608 198836 221431 253064 268961 307384 347963 391216 397672 442862 506128 537922 614768 695926 795344 885724 1075844 1391852 1771448 2151688 2254981 2435741 2783704 3542896 4303376 4509962 4871482 5567408 9019924 9742964 15784867 18039848 19485928 24804791 31569734 36079696 38971856 49609582 63139468 99219164 110494069 126278936 173633537 198438328 220988138 252557872 347267074 396876656 441976276 694534148 883952552 1215434759 1389068296 1767905104 2430869518 2778136592 4861739036 9723478072 19446956144