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9938948376 = 2337107659839
BaseRepresentation
bin10010100000110100…
…00101000100011000
3221122122212220001010
421100122011010120
5130323332322001
64322122053520
7501203444610
oct112032050430
927578786033
109938948376
114240306025
121b1464a2a0
13c25162956
146a3dcda40
153d284d8d6
hex250685118

9938948376 has 128 divisors (see below), whose sum is σ = 28740096000. Its totient is φ = 2805543552.

The previous prime is 9938948359. The next prime is 9938948381. The reversal of 9938948376 is 6738498399.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11845765 + ... + 11846603.

It is an arithmetic number, because the mean of its divisors is an integer number (224532000).

Almost surely, 29938948376 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 9938948376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048000).

9938948376 is an abundant number, since it is smaller than the sum of its proper divisors (18801147624).

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

9938948376 is a wasteful number, since it uses less digits than its factorization.

9938948376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1617 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 66.

The square root of 9938948376 is about 99694.2745397147. The cubic root of 9938948376 is about 2150.0413459509.

The spelling of 9938948376 in words is "nine billion, nine hundred thirty-eight million, nine hundred forty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 659 749 839 856 1284 1318 1498 1678 1977 2247 2517 2568 2636 2996 3356 3954 4494 4613 5034 5272 5873 5992 6712 7908 8988 9226 10068 11746 13839 15816 17619 17976 18452 20136 23492 27678 35238 36904 46984 55356 70476 70513 89773 110712 140952 141026 179546 211539 269319 282052 359092 423078 493591 538638 552901 564104 628411 718184 846156 987182 1077276 1105802 1256822 1480773 1658703 1692312 1885233 1974364 2154552 2211604 2513644 2961546 3317406 3770466 3870307 3948728 4423208 5027288 5923092 6634812 7540932 7740614 11610921 11846184 13269624 15081864 15481228 23221842 30962456 46443684 59160407 92887368 118320814 177481221 236641628 354962442 414122849 473283256 709924884 828245698 1242368547 1419849768 1656491396 2484737094 3312982792 4969474188 9938948376