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11903819080 = 2352937535233
BaseRepresentation
bin10110001011000010…
…11101110101001000
31010201121010122221011
423011201131311020
5143334334202310
65245112053304
7600662535616
oct130541356510
933647118834
1011903819080
11505943950a
122382694234
13117925a43a
1480cd426b6
1549a0c278a
hex2c585dd48

11903819080 has 128 divisors (see below), whose sum is σ = 28998453600. Its totient is φ = 4387848192.

The previous prime is 11903819063. The next prime is 11903819087. The reversal of 11903819080 is 8091830911.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8118370404 + 3785448676 = 90102^2 + 61526^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11903819087) 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, 2272144 + ... + 2277376.

Almost surely, 211903819080 is an apocalyptic number.

11903819080 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 11903819080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14499226800).

11903819080 is an abundant number, since it is smaller than the sum of its proper divisors (17094634520).

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

11903819080 is a wasteful number, since it uses less digits than its factorization.

11903819080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 40.

The spelling of 11903819080 in words is "eleven billion, nine hundred three million, eight hundred nineteen thousand, eighty".

Divisors: 1 2 4 5 8 10 20 29 37 40 53 58 74 106 116 145 148 185 212 232 265 290 296 370 424 530 580 740 1060 1073 1160 1480 1537 1961 2120 2146 3074 3922 4292 5233 5365 6148 7685 7844 8584 9805 10466 10730 12296 15370 15688 19610 20932 21460 26165 30740 39220 41864 42920 52330 56869 61480 78440 104660 113738 151757 193621 209320 227476 277349 284345 303514 387242 454952 554698 568690 607028 758785 774484 968105 1109396 1137380 1214056 1386745 1517570 1548968 1936210 2218792 2274760 2773490 3035140 3872420 5546980 5615009 6070280 7744840 8043121 10261913 11093960 11230018 16086242 20523826 22460036 28075045 32172484 40215605 41047652 44920072 51309565 56150090 64344968 80431210 82095304 102619130 112300180 160862420 205238260 224600360 297595477 321724840 410476520 595190954 1190381908 1487977385 2380763816 2975954770 5951909540 11903819080