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9919190016 = 2103539863
BaseRepresentation
bin10010011110011101…
…01101010000000000
3221121021201001200000
421033032231100000
5130303303040031
64320134400000
7500543503221
oct111716552000
927537631600
109919190016
1142301402aa
121b09b00000
13c21035508
146a1529248
153d0c493e6
hex24f3ad400

9919190016 has 132 divisors (see below), whose sum is σ = 29702985312. Its totient is φ = 3306313728.

The previous prime is 9919189999. The next prime is 9919190069. The reversal of 9919190016 is 6100919199.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228901 + ... + 268763.

It is an arithmetic number, because the mean of its divisors is an integer number (225022616).

Almost surely, 29919190016 is an apocalyptic number.

9919190016 is a gapful number since it is divisible by the number (96) 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 9919190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851492656).

9919190016 is an abundant number, since it is smaller than the sum of its proper divisors (19783795296).

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

9919190016 is an equidigital number, since it uses as much as digits as its factorization.

9919190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39898 (or 39868 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 45.

The square root of 9919190016 is about 99595.1304833725. The cubic root of 9919190016 is about 2148.6156594831.

The spelling of 9919190016 in words is "nine billion, nine hundred nineteen million, one hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 27648 31104 39863 41472 62208 79726 82944 119589 124416 159452 239178 248832 318904 358767 478356 637808 717534 956712 1076301 1275616 1435068 1913424 2152602 2551232 2870136 3228903 3826848 4305204 5102464 5740272 6457806 7653696 8610408 9686709 10204928 11480544 12915612 15307392 17220816 19373418 20409856 22961088 25831224 30614784 34441632 38746836 40819712 45922176 51662448 61229568 68883264 77493672 91844352 103324896 122459136 137766528 154987344 183688704 206649792 275533056 309974688 367377408 413299584 551066112 619949376 826599168 1102132224 1239898752 1653198336 2479797504 3306396672 4959595008 9919190016