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8190081936 = 2433194124337
BaseRepresentation
bin1111010000010101…
…01011101110010000
3210010210002021022000
413220022223232100
5113233130110221
63432405514000
7406646355621
oct75012535620
923123067260
108190081936
1135230a6863
121706a12900
13a06a36c3a
14579a27a48
1532e045e26
hex1e82abb90

8190081936 has 160 divisors (see below), whose sum is σ = 25350460800. Its totient is φ = 2523156480.

The previous prime is 8190081923. The next prime is 8190081947. The reversal of 8190081936 is 6391800918.

It is a junction number, because it is equal to n+sod(n) for n = 8190081891 and 8190081900.

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, 324360 + ... + 348696.

It is an arithmetic number, because the mean of its divisors is an integer number (158440380).

Almost surely, 28190081936 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 8190081936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12675230400).

8190081936 is an abundant number, since it is smaller than the sum of its proper divisors (17160378864).

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

8190081936 is a wasteful number, since it uses less digits than its factorization.

8190081936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24414 (or 24402 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 8190081936 is about 90499.0714648498. The cubic root of 8190081936 is about 2015.7163362224.

The spelling of 8190081936 in words is "eight billion, one hundred ninety million, eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 41 48 54 57 72 76 82 108 114 123 144 152 164 171 216 228 246 304 328 342 369 432 456 492 513 656 684 738 779 912 984 1026 1107 1368 1476 1558 1968 2052 2214 2337 2736 2952 3116 4104 4428 4674 5904 6232 7011 8208 8856 9348 12464 14022 17712 18696 21033 24337 28044 37392 42066 48674 56088 73011 84132 97348 112176 146022 168264 194696 219033 292044 336528 389392 438066 462403 584088 657099 876132 924806 997817 1168176 1314198 1387209 1752264 1849612 1995634 2628396 2774418 2993451 3504528 3699224 3991268 4161627 5256792 5548836 5986902 7398448 7982536 8323254 8980353 10513584 11097672 11973804 12484881 15965072 16646508 17960706 18958523 22195344 23947608 24969762 26941059 33293016 35921412 37917046 47895216 49939524 53882118 56875569 66586032 71842824 75834092 99879048 107764236 113751138 143685648 151668184 170626707 199758096 215528472 227502276 303336368 341253414 431056944 455004552 511880121 682506828 910009104 1023760242 1365013656 2047520484 2730027312 4095040968 8190081936