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1989922144 = 25724632741
BaseRepresentation
bin111011010011011…
…1100110101100000
312010200101112000011
41312212330311200
513033410002034
6525242534304
7100212026200
oct16646746540
95120345004
101989922144
11931293a61
12476507394
13259359232
1414c3d4400
15b9a71864
hex769bcd60

1989922144 has 72 divisors (see below), whose sum is σ = 4568786208. Its totient is φ = 850671360.

The previous prime is 1989922139. The next prime is 1989922159. The reversal of 1989922144 is 4412299891.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 724614 + ... + 727354.

It is an arithmetic number, because the mean of its divisors is an integer number (63455364).

Almost surely, 21989922144 is an apocalyptic number.

1989922144 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 1989922144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284393104).

1989922144 is an abundant number, since it is smaller than the sum of its proper divisors (2578864064).

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

1989922144 is a wasteful number, since it uses less digits than its factorization.

1989922144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3213 counting only the distinct ones).

The product of its digits is 373248, while the sum is 49.

The square root of 1989922144 is about 44608.5433969772. The cubic root of 1989922144 is about 1257.8012682702.

The spelling of 1989922144 in words is "one billion, nine hundred eighty-nine million, nine hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 463 784 926 1568 1852 2741 3241 3704 5482 6482 7408 10964 12964 14816 19187 21928 22687 25928 38374 43856 45374 51856 76748 87712 90748 103712 134309 153496 181496 268618 306992 362992 537236 613984 725984 1074472 1269083 2148944 2538166 4297888 5076332 8883581 10152664 17767162 20305328 35534324 40610656 62185067 71068648 124370134 142137296 248740268 284274592 497480536 994961072 1989922144