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3639920490 = 234517318527
BaseRepresentation
bin1101100011110100…
…1100011101101010
3100101200011010020000
43120331030131222
524423304423430
61401104043430
7156125546043
oct33075143552
910350133200
103639920490
1115a8705158
12857003576
1346014970b
142675c18ca
15164849e60
hexd8f4c76a

3639920490 has 160 divisors (see below), whose sum is σ = 10698614784. Its totient is φ = 883975680.

The previous prime is 3639920489. The next prime is 3639920503. The reversal of 3639920490 is 940299363.

3639920490 is a `hidden beast` number, since 3 + 639 + 9 + 2 + 0 + 4 + 9 + 0 = 666.

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

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, 422607 + ... + 431133.

Almost surely, 23639920490 is an apocalyptic number.

3639920490 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 3639920490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349307392).

3639920490 is an abundant number, since it is smaller than the sum of its proper divisors (7058694294).

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

3639920490 is a wasteful number, since it uses less digits than its factorization.

3639920490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8594 (or 8585 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3639920490 is about 60331.7535796864. The cubic root of 3639920490 is about 1538.2631357308.

The spelling of 3639920490 in words is "three billion, six hundred thirty-nine million, nine hundred twenty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 31 34 45 51 54 62 81 85 90 93 102 135 153 155 162 170 186 255 270 279 306 310 405 459 465 510 527 558 765 810 837 918 930 1054 1377 1395 1530 1581 1674 2295 2511 2635 2754 2790 3162 4185 4590 4743 5022 5270 6885 7905 8370 8527 9486 12555 13770 14229 15810 17054 23715 25110 25581 28458 42635 42687 47430 51162 71145 76743 85270 85374 127905 142290 144959 153486 213435 230229 255810 264337 289918 383715 426870 434877 460458 528674 690687 724795 767430 793011 869754 1151145 1304631 1321685 1381374 1449590 1586022 2174385 2302290 2379033 2609262 2643370 3453435 3913893 3965055 4348770 4493729 4758066 6523155 6906870 7137099 7827786 7930110 8987458 11741679 11895165 13046310 13481187 14274198 19569465 21411297 22468645 23483358 23790330 26962374 35685495 39138930 40443561 42822594 44937290 58708395 67405935 71370990 80887122 107056485 117416790 121330683 134811870 202217805 214112970 242661366 363992049 404435610 606653415 727984098 1213306830 1819960245 3639920490