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9481998144 = 2631131672617
BaseRepresentation
bin10001101010010101…
…11100111101000000
3220110211001102011110
420311022330331000
5123404342420034
64204520043320
7453654440313
oct106512747500
926424042143
109481998144
114026382603
121a07603540
13b815a15b8
1465d44297a
153a768ade9
hex2352bcf40

9481998144 has 112 divisors (see below), whose sum is σ = 25471087488. Its totient is φ = 3112747008.

The previous prime is 9481998131. The next prime is 9481998167. The reversal of 9481998144 is 4418991849.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3621924 + ... + 3624540.

It is an arithmetic number, because the mean of its divisors is an integer number (227420424).

Almost surely, 29481998144 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 9481998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12735543744).

9481998144 is an abundant number, since it is smaller than the sum of its proper divisors (15989089344).

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

9481998144 is a wasteful number, since it uses less digits than its factorization.

9481998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2902 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 57.

The square root of 9481998144 is about 97375.5520857263. The cubic root of 9481998144 is about 2116.5731798199.

The spelling of 9481998144 in words is "nine billion, four hundred eighty-one million, nine hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 167 192 226 334 339 452 501 668 678 904 1002 1336 1356 1808 2004 2617 2672 2712 3616 4008 5234 5344 5424 7232 7851 8016 10468 10688 10848 15702 16032 18871 20936 21696 31404 32064 37742 41872 56613 62808 75484 83744 113226 125616 150968 167488 226452 251232 295721 301936 437039 452904 502464 591442 603872 874078 887163 905808 1182884 1207744 1311117 1748156 1774326 1811616 2365768 2622234 3496312 3548652 3623232 4731536 5244468 6992624 7097304 9463072 10488936 13985248 14194608 18926144 20977872 27970496 28389216 41955744 49385407 56778432 83911488 98770814 148156221 197541628 296312442 395083256 592624884 790166512 1185249768 1580333024 2370499536 3160666048 4740999072 9481998144