Search a number
-
+
10099809856928 = 2511472366325799
BaseRepresentation
bin1001001011111000101110…
…0101000010110110100000
31022202112101010002022211002
42102332023211002312200
52310433402310410203
633251442200411132
72061454463210651
oct222761345026640
938675333068732
1010099809856928
11324433a3a9890
1211714b1a76aa8
1358353c45236c
1426cb94c15528
15127abc61dd88
hex92f8b942da0

10099809856928 has 96 divisors (see below), whose sum is σ = 22154956185600. Its totient is φ = 4492781551360.

The previous prime is 10099809856921. The next prime is 10099809856931. The reversal of 10099809856928 is 82965890899001.

It is not an unprimeable number, because it can be changed into a prime (10099809856921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391467773 + ... + 391493571.

It is an arithmetic number, because the mean of its divisors is an integer number (230780793600).

Almost surely, 210099809856928 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 10099809856928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11077478092800).

10099809856928 is an abundant number, since it is smaller than the sum of its proper divisors (12055146328672).

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

10099809856928 is a wasteful number, since it uses less digits than its factorization.

10099809856928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49530 (or 49522 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 74.

The spelling of 10099809856928 in words is "ten trillion, ninety-nine billion, eight hundred nine million, eight hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 752 1034 1504 2068 4136 8272 16544 23663 25799 47326 51598 94652 103196 189304 206392 260293 283789 378608 412784 520586 567578 757216 825568 1041172 1112161 1135156 1212553 2082344 2224322 2270312 2425106 4164688 4448644 4540624 4850212 8329376 8897288 9081248 9700424 12233771 13338083 17794576 19400848 24467542 26676166 35589152 38801696 48935084 53352332 97870168 106704664 195740336 213409328 391480672 426818656 610481737 1220963474 2441926948 4883853896 6715299107 9767707792 13430598214 19535415584 26861196428 28692641639 53722392856 57385283278 107444785712 114770566556 214889571424 229541133112 315619058029 459082266224 631238116058 918164532448 1262476232116 2524952464232 5049904928464 10099809856928