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13392258960 = 2435475920123
BaseRepresentation
bin11000111100011110…
…11010011110010000
31021120022220020121010
430132033122132100
5204411404241320
610052522330520
7652605215523
oct143617323620
937508806533
1013392258960
115752643413
122719059a40
1313557329b2
149108b6bba
15535ad6ae0
hex31e3da790

13392258960 has 160 divisors (see below), whose sum is σ = 43120097280. Its totient is φ = 3435871744.

The previous prime is 13392258937. The next prime is 13392258977. The reversal of 13392258960 is 6985229331.

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

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, 655459 + ... + 675581.

It is an arithmetic number, because the mean of its divisors is an integer number (269500608).

Almost surely, 213392258960 is an apocalyptic number.

13392258960 is a gapful number since it is divisible by the number (10) 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 13392258960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21560048640).

13392258960 is an abundant number, since it is smaller than the sum of its proper divisors (29727838320).

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

13392258960 is a wasteful number, since it uses less digits than its factorization.

13392258960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20245 (or 20239 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 13392258960 in words is "thirteen billion, three hundred ninety-two million, two hundred fifty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 59 60 80 94 118 120 141 177 188 235 236 240 282 295 354 376 470 472 564 590 705 708 752 885 940 944 1128 1180 1410 1416 1770 1880 2256 2360 2773 2820 2832 3540 3760 4720 5546 5640 7080 8319 11092 11280 13865 14160 16638 20123 22184 27730 33276 40246 41595 44368 55460 60369 66552 80492 83190 100615 110920 120738 133104 160984 166380 201230 221840 241476 301845 321968 332760 402460 482952 603690 665520 804920 945781 965904 1187257 1207380 1609840 1891562 2374514 2414760 2837343 3561771 3783124 4728905 4749028 4829520 5674686 5936285 7123542 7566248 9457810 9498056 11349372 11872570 14186715 14247084 15132496 17808855 18915620 18996112 22698744 23745140 28373430 28494168 35617710 37831240 45397488 47490280 55801079 56746860 56988336 71235420 75662480 94980560 111602158 113493720 142470840 167403237 223204316 226987440 279005395 284941680 334806474 446408632 558010790 669612948 837016185 892817264 1116021580 1339225896 1674032370 2232043160 2678451792 3348064740 4464086320 6696129480 13392258960