Search a number
-
+
19735439872 = 29414783241
BaseRepresentation
bin10010011000010100…
…101110101000000000
31212221101201012222111
4102120110232220000
5310404233033442
613022154545104
71266030320401
oct223024565000
955841635874
1019735439872
118408161095
1239a9438194
131b26937b95
14d530d99a8
157a790cb17
hex49852ea00

19735439872 has 160 divisors (see below), whose sum is σ = 41923816704. Its totient is φ = 9270067200.

The previous prime is 19735439863. The next prime is 19735439873. The reversal of 19735439872 is 27893453791.

It is not an unprimeable number, because it can be changed into a prime (19735439873) 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, 81889672 + ... + 81889912.

Almost surely, 219735439872 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 19735439872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20961908352).

19735439872 is an abundant number, since it is smaller than the sum of its proper divisors (22188376832).

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

19735439872 is an equidigital number, since it uses as much as digits as its factorization.

19735439872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 58.

The spelling of 19735439872 in words is "nineteen billion, seven hundred thirty-five million, four hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 47 64 82 83 94 128 164 166 188 241 256 328 332 376 482 512 656 664 752 964 1312 1328 1504 1927 1928 2624 2656 3008 3403 3854 3856 3901 5248 5312 6016 6806 7708 7712 7802 9881 10496 10624 11327 12032 13612 15416 15424 15604 19762 20003 20992 21248 22654 24064 27224 30832 30848 31208 39524 40006 42496 45308 54448 61664 61696 62416 79048 80012 90616 108896 123328 123392 124832 158096 159941 160024 181232 217792 246656 249664 316192 319882 320048 362464 435584 464407 493312 499328 632384 639764 640096 724928 820123 871168 928814 940141 986624 998656 1264768 1279528 1280192 1449856 1640246 1742336 1857628 1880282 1997312 2529536 2559056 2560384 2899712 3280492 3715256 3760564 5059072 5118112 5120768 5799424 6560984 7430512 7521128 10236224 10241536 13121968 14861024 15042256 20472448 26243936 29722048 30084512 38545781 40944896 52487872 59444096 60169024 77091562 81889792 104975744 118888192 120338048 154183124 209951488 237776384 240676096 308366248 419902976 481352192 616732496 1233464992 2466929984 4933859968 9867719936 19735439872