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10124652328 = 2371731536473
BaseRepresentation
bin10010110110111100…
…11110111100101000
3222010121022121222021
421123132132330220
5131213402333303
64352354234224
7505620060550
oct113336367450
928117277867
1010124652328
11432611416a
121b66885974
13c54782b4b
146c0930160
153e3cd1ebd
hex25b79ef28

10124652328 has 128 divisors (see below), whose sum is σ = 24164075520. Its totient is φ = 3876986880.

The previous prime is 10124652319. The next prime is 10124652353. The reversal of 10124652328 is 82325642101.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 10124652293 and 10124652302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560900 + ... + 1567372.

It is an arithmetic number, because the mean of its divisors is an integer number (188781840).

Almost surely, 210124652328 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 10124652328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082037760).

10124652328 is an abundant number, since it is smaller than the sum of its proper divisors (14039423192).

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

10124652328 is a wasteful number, since it uses less digits than its factorization.

10124652328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6587 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 10124652328 in words is "ten billion, one hundred twenty-four million, six hundred fifty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 28 31 34 53 56 62 68 106 119 124 136 212 217 238 248 371 424 434 476 527 742 868 901 952 1054 1484 1643 1736 1802 2108 2968 3286 3604 3689 4216 6307 6473 6572 7208 7378 11501 12614 12946 13144 14756 23002 25228 25892 27931 29512 45311 46004 50456 51784 55862 90622 92008 110041 111724 181244 195517 200663 220082 223448 343069 362488 391034 401326 440164 686138 770287 782068 802652 880328 1372276 1404641 1540574 1564136 1605304 2401483 2744552 2809282 3081148 3411271 4802966 5618564 5832173 6162296 6822542 9605932 10635139 11237128 11664346 13645084 19211864 21270278 23328692 23878897 27290168 40825211 42540556 46657384 47757794 74445973 81650422 85081112 95515588 148891946 163300844 180797363 191031176 297783892 326601688 361594726 595567784 723189452 1265581541 1446378904 2531163082 5062326164 10124652328