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10083498672 = 243134129613
BaseRepresentation
bin10010110010000010…
…11111101010110000
3222000201212210202210
421121001133222300
5131122333424142
64344324212120
7504610216212
oct113101375260
928021783683
1010083498672
114304965885
121b54b3a040
13c490a4180
146b929a5b2
153e03a349c
hex25905fab0

10083498672 has 120 divisors (see below), whose sum is σ = 28756704592. Its totient is φ = 3026626560.

The previous prime is 10083498671. The next prime is 10083498703. The reversal of 10083498672 is 27689438001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10083498671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1044138 + ... + 1053750.

Almost surely, 210083498672 is an apocalyptic number.

10083498672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10083498672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378352296).

10083498672 is an abundant number, since it is smaller than the sum of its proper divisors (18673205920).

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

10083498672 is a wasteful number, since it uses less digits than its factorization.

10083498672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9719 (or 9672 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 10083498672 in words is "ten billion, eighty-three million, four hundred ninety-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1681 1968 2132 3198 3362 4264 5043 6396 6724 8528 9613 10086 12792 13448 19226 20172 21853 25584 26896 28839 38452 40344 43706 57678 65559 76904 80688 87412 115356 124969 131118 153808 174824 230712 249938 262236 349648 374907 394133 461424 499876 524472 749814 788266 999752 1048944 1182399 1499628 1576532 1999504 2364798 2999256 3153064 4729596 5123729 5998512 6306128 9459192 10247458 15371187 16159453 18918384 20494916 30742374 32318906 40989832 48478359 61484748 64637812 81979664 96956718 122969496 129275624 193913436 210072889 245938992 258551248 387826872 420145778 630218667 775653744 840291556 1260437334 1680583112 2520874668 3361166224 5041749336 10083498672