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1998961038 = 233374353439
BaseRepresentation
bin111011100100101…
…1011100110001110
312011022101202001000
41313021123212032
513043213223123
6530204401130
7100351613514
oct16711334616
95138352030
101998961038
119363a8018
124795461a6
1325b1a24a9
1414d6a84b4
15ba759b43
hex7725b98e

1998961038 has 128 divisors (see below), whose sum is σ = 4767206400. Its totient is φ = 619871616.

The previous prime is 1998961037. The next prime is 1998961057. The reversal of 1998961038 is 8301698991.

1998961038 is a `hidden beast` number, since 19 + 9 + 8 + 9 + 610 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

1998961038 is a modest number, since divided by 961038 gives 1998 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998961037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4553223 + ... + 4553661.

It is an arithmetic number, because the mean of its divisors is an integer number (37243800).

Almost surely, 21998961038 is an apocalyptic number.

1998961038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1998961038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383603200).

1998961038 is an abundant number, since it is smaller than the sum of its proper divisors (2768245362).

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

1998961038 is a wasteful number, since it uses less digits than its factorization.

1998961038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 1998961038 is about 44709.7420927475. The cubic root of 1998961038 is about 1259.7028437569.

The spelling of 1998961038 in words is "one billion, nine hundred ninety-eight million, nine hundred sixty-one thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 37 43 53 54 74 86 106 111 129 159 222 258 318 333 387 439 477 666 774 878 954 999 1161 1317 1431 1591 1961 1998 2279 2322 2634 2862 3182 3922 3951 4558 4773 5883 6837 7902 9546 11766 11853 13674 14319 16243 17649 18877 20511 23267 23706 28638 32486 35298 37754 41022 42957 46534 48729 52947 56631 61533 69801 84323 85914 97458 105894 113262 123066 139602 146187 168646 169893 209403 252969 292374 339786 418806 438561 505938 509679 628209 698449 758907 860879 877122 1000481 1019358 1256418 1396898 1517814 1721758 2000962 2095347 2276721 2582637 3001443 4190694 4553442 5165274 6002886 6286041 7747911 9004329 12572082 15495822 18008658 18858123 23243733 27012987 37017797 37716246 46487466 54025974 74035594 111053391 222106782 333160173 666320346 999480519 1998961038