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8148345040 = 2451131298693
BaseRepresentation
bin1111001011010110…
…11110000011010000
3210000212112211001001
413211223132003100
5113141434020130
63424315151344
7405631534663
oct74553360320
923025484031
108148345040
11350158a260
1216b4a45554
139cb1b2954
145742816da
1532a54e6ca
hex1e5ade0d0

8148345040 has 80 divisors (see below), whose sum is σ = 21333920256. Its totient is φ = 2867443200.

The previous prime is 8148344957. The next prime is 8148345053. The reversal of 8148345040 is 405438418.

It is a tau number, because it is divible by the number of its divisors (80).

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, 122067 + ... + 176626.

Almost surely, 28148345040 is an apocalyptic number.

8148345040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8148345040 is an abundant number, since it is smaller than the sum of its proper divisors (13185575216).

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

8148345040 is a wasteful number, since it uses less digits than its factorization.

8148345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298748 (or 298742 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 8148345040 is about 90268.1839852780. The cubic root of 8148345040 is about 2012.2864536348.

The spelling of 8148345040 in words is "eight billion, one hundred forty-eight million, three hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 13640 27280 298693 597386 1194772 1493465 2389544 2986930 3285623 4779088 5973860 6571246 9259483 11947720 13142492 16428115 18518966 23895440 26284984 32856230 37037932 46297415 52569968 65712460 74075864 92594830 101854313 131424920 148151728 185189660 203708626 262849840 370379320 407417252 509271565 740758640 814834504 1018543130 1629669008 2037086260 4074172520 8148345040