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11838675408 = 24371011312663
BaseRepresentation
bin10110000011010001…
…11101100111010000
31010120001120000121120
423001220331213100
5143221200103113
65234423522240
7566242036440
oct130150754720
933501500546
1011838675408
11502569506a
1223648b9380
1311688cc1a1
14804426120
15494505a23
hex2c1a3d9d0

11838675408 has 160 divisors (see below), whose sum is σ = 35581151232. Its totient is φ = 3322176000.

The previous prime is 11838675371. The next prime is 11838675413. The reversal of 11838675408 is 80457683811.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4444285 + ... + 4446947.

Almost surely, 211838675408 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 11838675408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790575616).

11838675408 is an abundant number, since it is smaller than the sum of its proper divisors (23742475824).

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

11838675408 is a wasteful number, since it uses less digits than its factorization.

11838675408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 11838675408 in words is "eleven billion, eight hundred thirty-eight million, six hundred seventy-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 131 168 202 262 303 336 393 404 524 606 707 786 808 917 1048 1212 1414 1572 1616 1834 2096 2121 2424 2663 2751 2828 3144 3668 4242 4848 5326 5502 5656 6288 7336 7989 8484 10652 11004 11312 13231 14672 15978 16968 18641 21304 22008 26462 31956 33936 37282 39693 42608 44016 52924 55923 63912 74564 79386 92617 105848 111846 127824 149128 158772 185234 211696 223692 268963 277851 298256 317544 348853 370468 447384 537926 555702 635088 697706 740936 806889 894768 1046559 1075852 1111404 1395412 1481872 1613778 1882741 2093118 2151704 2222808 2441971 2790824 3227556 3765482 4186236 4303408 4445616 4883942 5581648 5648223 6455112 7325913 7530964 8372472 9767884 11296446 12910224 14651826 15061928 16744944 19535768 22592892 29303652 30123856 35234153 39071536 45185784 58607304 70468306 90371568 105702459 117214608 140936612 211404918 246639071 281873224 422809836 493278142 563746448 739917213 845619672 986556284 1479834426 1691239344 1973112568 2959668852 3946225136 5919337704 11838675408