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36137093490 = 23355915714449
BaseRepresentation
bin100001101001111100…
…000100100101110010
310110021110022112222000
4201221330010211302
51043002043442430
624333503154430
72416340140461
oct415174044562
9113243275860
1036137093490
11143644a1223
1270062a5a16
13353b991274
141a6b5429d8
15e177e1e60
hex869f04972

36137093490 has 128 divisors (see below), whose sum is σ = 98629920000. Its totient is φ = 9412236288.

The previous prime is 36137093467. The next prime is 36137093497. The reversal of 36137093490 is 9439073163.

It is a happy number.

36137093490 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 70 + 93 + 490 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36137093497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2493786 + ... + 2508234.

It is an arithmetic number, because the mean of its divisors is an integer number (770546250).

Almost surely, 236137093490 is an apocalyptic number.

36137093490 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 36137093490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49314960000).

36137093490 is an abundant number, since it is smaller than the sum of its proper divisors (62492826510).

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

36137093490 is a wasteful number, since it uses less digits than its factorization.

36137093490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14681 (or 14675 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 36137093490 in words is "thirty-six billion, one hundred thirty-seven million, ninety-three thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 157 177 270 295 314 354 471 531 590 785 885 942 1062 1413 1570 1593 1770 2355 2655 2826 3186 4239 4710 5310 7065 7965 8478 9263 14130 14449 15930 18526 21195 27789 28898 42390 43347 46315 55578 72245 83367 86694 92630 130041 138945 144490 166734 216735 250101 260082 277890 390123 416835 433470 500202 650205 780246 833670 852491 1250505 1300410 1704982 1950615 2268493 2501010 2557473 3901230 4262455 4536986 5114946 6805479 7672419 8524910 11342465 12787365 13610958 15344838 20416437 22684930 23017257 25574730 34027395 38362095 40832874 46034514 61249311 68054790 76724190 102082185 115086285 122498622 133841087 204164370 230172570 267682174 306246555 401523261 612493110 669205435 803046522 1204569783 1338410870 2007616305 2409139566 3613709349 4015232610 6022848915 7227418698 12045697830 18068546745 36137093490