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89928082998 = 232134167139901
BaseRepresentation
bin101001111000000100…
…0011010011000110110
322121010020112221112200
41103300020122120312
52433133042123443
6105151250525330
76332334043665
oct1236010323066
9277106487480
1089928082998
1135158070856
1215518896846
138631c62040
1444d153addc
152514dc2dd3
hex14f021a636

89928082998 has 96 divisors (see below), whose sum is σ = 218159821152. Its totient is φ = 26592192000.

The previous prime is 89928082997. The next prime is 89928083083.

89928082998 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×899280829982 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89928082997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572848 + ... + 712748.

It is an arithmetic number, because the mean of its divisors is an integer number (2272498137).

Almost surely, 289928082998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89928082998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109079910576).

89928082998 is an abundant number, since it is smaller than the sum of its proper divisors (128231738154).

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

89928082998 is a wasteful number, since it uses less digits than its factorization.

89928082998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140030 (or 140027 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 72.

The spelling of 89928082998 in words is "eighty-nine billion, nine hundred twenty-eight million, eighty-two thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 41 67 78 82 117 123 134 201 234 246 369 402 533 603 738 871 1066 1206 1599 1742 2613 2747 3198 4797 5226 5494 7839 8241 9594 15678 16482 24723 35711 49446 71422 107133 139901 214266 279802 321399 419703 642798 839406 1259109 1818713 2518218 3637426 5456139 5735941 9373367 10912278 11471882 16368417 17207823 18746734 28120101 32736834 34415646 51623469 56240202 74567233 84360303 103246938 121853771 149134466 168720606 223701699 243707542 365561313 384308047 447403398 671105097 731122626 768616094 1096683939 1152924141 1342210194 2193367878 2305848282 3458772423 4996004611 6917544846 9992009222 14988013833 29976027666 44964041499 89928082998