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8149429120 = 27572259867
BaseRepresentation
bin1111001011011111…
…00110101110000000
3210000221120220010011
413211233212232000
5113142223212440
63424354314304
7405644001400
oct74557465600
923027526104
108149429120
11350215a798
1216b5288994
139cb4a2211
14574484800
1532a6b59ea
hex1e5be6b80

8149429120 has 96 divisors (see below), whose sum is σ = 22663088280. Its totient is φ = 2794079232.

The previous prime is 8149429109. The next prime is 8149429121. The reversal of 8149429120 is 219249418.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8149429121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98574 + ... + 161293.

Almost surely, 28149429120 is an apocalyptic number.

8149429120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8149429120 is an abundant number, since it is smaller than the sum of its proper divisors (14513659160).

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

8149429120 is a wasteful number, since it uses less digits than its factorization.

8149429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259900 (or 259881 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 8149429120 is about 90274.1885590782. The cubic root of 8149429120 is about 2012.3756898642.

The spelling of 8149429120 in words is "eight billion, one hundred forty-nine million, four hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 259867 519734 1039468 1299335 1819069 2078936 2598670 3638138 4157872 5197340 7276276 8315744 9095345 10394680 12733483 14552552 16631488 18190690 20789360 25466966 29105104 33262976 36381380 41578720 50933932 58210208 63667415 72762760 83157440 101867864 116420416 127334830 145525520 166314880 203735728 232840832 254669660 291051040 407471456 509339320 582102080 814942912 1018678640 1164204160 1629885824 2037357280 4074714560 8149429120