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3186117990 = 2345113531013
BaseRepresentation
bin1011110111101000…
…0100110101100110
322020001020120020000
42331322010311212
523011121233430
61244053322130
7141645361506
oct27572046546
98201216200
103186117990
111395531670
1274b036346
133ba11b023
14223213a06
15139aa9e60
hexbde84d66

3186117990 has 160 divisors (see below), whose sum is σ = 9381674016. Its totient is φ = 769443840.

The previous prime is 3186117983. The next prime is 3186118007. The reversal of 3186117990 is 997116813.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3144724 + ... + 3145736.

Almost surely, 23186117990 is an apocalyptic number.

3186117990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3186117990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690837008).

3186117990 is an abundant number, since it is smaller than the sum of its proper divisors (6195556026).

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

3186117990 is a wasteful number, since it uses less digits than its factorization.

3186117990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 3186117990 is about 56445.7083399615. The cubic root of 3186117990 is about 1471.4786038717.

The spelling of 3186117990 in words is "three billion, one hundred eighty-six million, one hundred seventeen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 353 405 495 594 706 810 891 990 1013 1059 1485 1765 1782 2026 2118 2970 3039 3177 3530 3883 4455 5065 5295 6078 6354 7766 8910 9117 9531 10130 10590 11143 11649 15195 15885 18234 19062 19415 22286 23298 27351 28593 30390 31770 33429 34947 38830 45585 47655 54702 55715 57186 58245 66858 69894 82053 91170 95310 100287 104841 111430 116490 136755 142965 164106 167145 174735 200574 209682 273510 285930 300861 314523 334290 349470 357589 410265 501435 524205 601722 629046 715178 820530 902583 1002870 1048410 1072767 1504305 1572615 1787945 1805166 2145534 3008610 3145230 3218301 3575890 3933479 4512915 5363835 6436602 7866958 9025830 9654903 10727670 11800437 16091505 19309806 19667395 23600874 28964709 32183010 35401311 39334790 48274515 57929418 59002185 70802622 96549030 106203933 118004370 144823545 177006555 212407866 289647090 318611799 354013110 531019665 637223598 1062039330 1593058995 3186117990