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8199000040 = 23571117156589
BaseRepresentation
bin1111010001011001…
…01100111111101000
3210011101212100122011
413220230230333220
5113242421000130
63433325005304
7410115231130
oct75054547750
923141770564
108199000040
1135281380a0
1217099b3834
13a0883a21a
1457aca9ac0
1532ec0852a
hex1e8b2cfe8

8199000040 has 128 divisors (see below), whose sum is σ = 24352876800. Its totient is φ = 2405191680.

The previous prime is 8198999993. The next prime is 8199000041. The reversal of 8199000040 is 400009918.

It is a junction number, because it is equal to n+sod(n) for n = 8198999966 and 8199000011.

It is not an unprimeable number, because it can be changed into a prime (8199000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25935 + ... + 130654.

It is an arithmetic number, because the mean of its divisors is an integer number (190256850).

Almost surely, 28199000040 is an apocalyptic number.

It is an amenable number.

8199000040 is an abundant number, since it is smaller than the sum of its proper divisors (16153876760).

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

8199000040 is a wasteful number, since it uses less digits than its factorization.

8199000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156635 (or 156631 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 8199000040 is about 90548.3298575959. The cubic root of 8199000040 is about 2016.4477024138.

Adding to 8199000040 its reverse (400009918), we get a palindrome (8599009958).

The spelling of 8199000040 in words is "eight billion, one hundred ninety-nine million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 440 476 595 616 680 748 770 935 952 1190 1309 1496 1540 1870 2380 2618 3080 3740 4760 5236 6545 7480 10472 13090 26180 52360 156589 313178 626356 782945 1096123 1252712 1565890 1722479 2192246 2662013 3131780 3444958 4384492 5324026 5480615 6263560 6889916 8612395 8768984 10648052 10961230 12057353 13310065 13779832 17224790 18634091 21296104 21922460 24114706 26620130 29282143 34449580 37268182 43844920 48229412 53240260 58564286 60286765 68899160 74536364 93170455 96458824 106480520 117128572 120573530 146410715 149072728 186340910 204975001 234257144 241147060 292821430 372681820 409950002 482294120 585642860 745363640 819900004 1024875005 1171285720 1639800008 2049750010 4099500020 8199000040