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948681433088 = 2131278531069
BaseRepresentation
bin11011100111000011101…
…00011110000000000000
310100200201020111010002122
431303201310132000000
5111020344421324323
62003452423303412
7125353132062614
oct15634164360000
93320636433078
10948681433088
11336373a34024
12133a3b5aab68
136b5ca2bcb0c
1433cb8961344
1519a26264ec8
hexdce1d1e000

948681433088 has 112 divisors (see below), whose sum is σ = 1916218590720. Its totient is φ = 469614329856.

The previous prime is 948681433081. The next prime is 948681433103. The reversal of 948681433088 is 880334186849.

It is a super-2 number, since 2×9486814330882 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 948681433088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948681433081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 887447018 + ... + 887448086.

It is an arithmetic number, because the mean of its divisors is an integer number (17109094560).

Almost surely, 2948681433088 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 948681433088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958109295360).

948681433088 is an abundant number, since it is smaller than the sum of its proper divisors (967537157632).

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

948681433088 is a wasteful number, since it uses less digits than its factorization.

948681433088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 62.

The spelling of 948681433088 in words is "nine hundred forty-eight billion, six hundred eighty-one million, four hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 853 1016 1024 1069 1706 2032 2048 2138 3412 4064 4096 4276 6824 8128 8192 8552 13648 16256 17104 27296 32512 34208 54592 65024 68416 108331 109184 130048 135763 136832 216662 218368 260096 271526 273664 433324 436736 520192 543052 547328 866648 873472 911857 1040384 1086104 1094656 1733296 1746944 1823714 2172208 2189312 3466592 3493888 3647428 4344416 4378624 6933184 6987776 7294856 8688832 8757248 13866368 14589712 17377664 27732736 29179424 34755328 55465472 58358848 69510656 110930944 115805839 116717696 139021312 221861888 231611678 233435392 278042624 443723776 463223356 466870784 556085248 887447552 926446712 933741568 1112170496 1852893424 1867483136 3705786848 3734966272 7411573696 7469932544 14823147392 29646294784 59292589568 118585179136 237170358272 474340716544 948681433088