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16893126120 = 23351383130469
BaseRepresentation
bin11111011101110100…
…01010010111101000
31121121022101201111210
433232322022113220
5234044120013440
611432142153120
71135425126363
oct175672122750
947538351453
1016893126120
117189802762
1233355827a0
131792b13c20
14b6381d0da
1568d115a80
hex3eee8a5e8

16893126120 has 128 divisors (see below), whose sum is σ = 55235779200. Its totient is φ = 4108176384.

The previous prime is 16893126109. The next prime is 16893126127. The reversal of 16893126120 is 2162139861.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (16893126127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64246 + ... + 194714.

It is an arithmetic number, because the mean of its divisors is an integer number (431529525).

Almost surely, 216893126120 is an apocalyptic number.

16893126120 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 16893126120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27617889600).

16893126120 is an abundant number, since it is smaller than the sum of its proper divisors (38342653080).

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

16893126120 is a wasteful number, since it uses less digits than its factorization.

16893126120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130579 (or 130575 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 16893126120 in words is "sixteen billion, eight hundred ninety-three million, one hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 83 104 120 130 156 166 195 249 260 312 332 390 415 498 520 664 780 830 996 1079 1245 1560 1660 1992 2158 2490 3237 3320 4316 4980 5395 6474 8632 9960 10790 12948 16185 21580 25896 32370 43160 64740 129480 130469 260938 391407 521876 652345 782814 1043752 1304690 1565628 1696097 1957035 2609380 3131256 3392194 3914070 5088291 5218760 6784388 7828140 8480485 10176582 10828927 13568776 15656280 16960970 20353164 21657854 25441455 32486781 33921940 40706328 43315708 50882910 54144635 64973562 67843880 86631416 101765820 108289270 129947124 140776051 162433905 203531640 216578540 259894248 281552102 324867810 422328153 433157080 563104204 649735620 703880255 844656306 1126208408 1299471240 1407760510 1689312612 2111640765 2815521020 3378625224 4223281530 5631042040 8446563060 16893126120