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1981414488 = 2332325713967
BaseRepresentation
bin111011000011001…
…1111110001011000
312010002101021200210
41312012133301120
513024220230423
6524340331120
7100046513424
oct16606376130
95102337623
101981414488
11927503039
124736a3aa0
1325766aa11
1414b21bb84
15b8e40b93
hex7619fc58

1981414488 has 64 divisors (see below), whose sum is σ = 5189391360. Its totient is φ = 629252096.

The previous prime is 1981414469. The next prime is 1981414529. The reversal of 1981414488 is 8844141891.

It is a super-3 number, since 3×19814144883 (a number of 29 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 134881 + ... + 148847.

It is an arithmetic number, because the mean of its divisors is an integer number (81084240).

Almost surely, 21981414488 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 1981414488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594695680).

1981414488 is an abundant number, since it is smaller than the sum of its proper divisors (3207976872).

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

1981414488 is a wasteful number, since it uses less digits than its factorization.

1981414488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14256 (or 14252 counting only the distinct ones).

The product of its digits is 294912, while the sum is 48.

The square root of 1981414488 is about 44513.0822118622. The cubic root of 1981414488 is about 1256.0061851427.

The spelling of 1981414488 in words is "one billion, nine hundred eighty-one million, four hundred fourteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 257 276 514 552 771 1028 1542 2056 3084 5911 6168 11822 13967 17733 23644 27934 35466 41901 47288 55868 70932 83802 111736 141864 167604 321241 335208 642482 963723 1284964 1927446 2569928 3589519 3854892 7179038 7709784 10768557 14358076 21537114 28716152 43074228 82558937 86148456 165117874 247676811 330235748 495353622 660471496 990707244 1981414488