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8149353920 = 2651710311453
BaseRepresentation
bin1111001011011110…
…10100010111000000
3210000221110001221222
413211233110113000
5113142213311140
63424352534212
7405643236221
oct74557242700
923027401858
108149353920
113502109244
1216b5251368
139cb476c16
14574465248
1532a69d5b5
hex1e5bd45c0

8149353920 has 112 divisors (see below), whose sum is σ = 20581242048. Its totient is φ = 3062906880.

The previous prime is 8149353917. The next prime is 8149353931. The reversal of 8149353920 is 293539418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5607914 + ... + 5609366.

Almost surely, 28149353920 is an apocalyptic number.

8149353920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8149353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10290621024).

8149353920 is an abundant number, since it is smaller than the sum of its proper divisors (12431888128).

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

8149353920 is a wasteful number, since it uses less digits than its factorization.

8149353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 8149353920 is about 90273.7720492503. The cubic root of 8149353920 is about 2012.3695000188.

The spelling of 8149353920 in words is "eight billion, one hundred forty-nine million, three hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1031 1088 1360 1453 2062 2720 2906 4124 5155 5440 5812 7265 8248 10310 11624 14530 16496 17527 20620 23248 24701 29060 32992 35054 41240 46496 49402 58120 65984 70108 82480 87635 92992 98804 116240 123505 140216 164960 175270 197608 232480 247010 280432 329920 350540 395216 464960 494020 560864 701080 790432 988040 1121728 1402160 1498043 1580864 1976080 2804320 2996086 3952160 5608640 5992172 7490215 7904320 11984344 14980430 23968688 25466731 29960860 47937376 50933462 59921720 95874752 101866924 119843440 127333655 203733848 239686880 254667310 407467696 479373760 509334620 814935392 1018669240 1629870784 2037338480 4074676960 8149353920