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99917393728 = 2667972331031
BaseRepresentation
bin101110100001110001…
…0100110111101000000
3100112220102012111202011
41131003202212331000
53114112323044403
6113522412302304
710135021555615
oct1350342467500
9315812174664
1099917393728
1139413844859
1217446171994
139564678ca9
144b9c0ba50c
1528ebd6da6d
hex17438a6f40

99917393728 has 112 divisors (see below), whose sum is σ = 204378056064. Its totient is φ = 48449617920.

The previous prime is 99917393689. The next prime is 99917393747. The reversal of 99917393728 is 82739371999.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96912573 + ... + 96913603.

It is an arithmetic number, because the mean of its divisors is an integer number (1824804072).

Almost surely, 299917393728 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 99917393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102189028032).

99917393728 is an abundant number, since it is smaller than the sum of its proper divisors (104460662336).

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

99917393728 is a wasteful number, since it uses less digits than its factorization.

99917393728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1430 counting only the distinct ones).

The product of its digits is 46294416, while the sum is 67.

It can be divided in two parts, 999173 and 93728, that added together give a palindrome (1092901).

The spelling of 99917393728 in words is "ninety-nine billion, nine hundred seventeen million, three hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 67 97 134 194 233 268 388 466 536 776 932 1031 1072 1552 1864 2062 2144 3104 3728 4124 4288 6208 6499 7456 8248 12998 14912 15611 16496 22601 25996 31222 32992 45202 51992 62444 65984 69077 90404 100007 103984 124888 138154 180808 200014 207968 240223 249776 276308 361616 400028 415936 480446 499552 552616 723232 800056 960892 999104 1105232 1446464 1514267 1600112 1921784 2210464 3028534 3200224 3843568 4420928 6057068 6400448 6700469 7687136 12114136 13400938 15374272 16094941 23301631 24228272 26801876 32189882 46603262 48456544 53603752 64379764 93206524 96913088 107207504 128759528 186413048 214415008 257519056 372826096 428830016 515038112 745652192 1030076224 1491304384 1561209277 3122418554 6244837108 12489674216 24979348432 49958696864 99917393728