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8120842752 = 29311523919
BaseRepresentation
bin1111001000000101…
…00011101000000000
3202221221210112222210
413210002203220000
5113112413432002
63421453502120
7405146011251
oct74402435000
922857715883
108120842752
1134980053a0
1216a77a1940
139c55a37c9
14570762b28
15327e1a96c
hex1e40a3a00

8120842752 has 160 divisors (see below), whose sum is σ = 23672056320. Its totient is φ = 2453483520.

The previous prime is 8120842747. The next prime is 8120842753. The reversal of 8120842752 is 2572480218.

It is a self number, because there is not a number n which added to its sum of digits gives 8120842752.

It is not an unprimeable number, because it can be changed into a prime (8120842753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8836149 + ... + 8837067.

It is an arithmetic number, because the mean of its divisors is an integer number (147950352).

Almost surely, 28120842752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8120842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11836028160).

8120842752 is an abundant number, since it is smaller than the sum of its proper divisors (15551213568).

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

8120842752 is a wasteful number, since it uses less digits than its factorization.

8120842752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 8120842752 is about 90115.7186732703. The cubic root of 8120842752 is about 2010.0199458430.

The spelling of 8120842752 in words is "eight billion, one hundred twenty million, eight hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 523 528 704 768 919 1046 1056 1408 1536 1569 1838 2092 2112 2757 2816 3138 3676 4184 4224 5514 5632 5753 6276 7352 8368 8448 10109 11028 11506 12552 14704 16736 16896 17259 20218 22056 23012 25104 29408 30327 33472 34518 40436 44112 46024 50208 58816 60654 66944 69036 80872 88224 92048 100416 117632 121308 133888 138072 161744 176448 184096 200832 235264 242616 267776 276144 323488 352896 368192 401664 470528 480637 485232 552288 646976 705792 736384 803328 961274 970464 1104576 1293952 1411584 1441911 1472768 1922548 1940928 2209152 2587904 2883822 2945536 3845096 3881856 4418304 5175808 5287007 5767644 7690192 7763712 8836608 10574014 11535288 15380384 15527424 15861021 21148028 23070576 30760768 31722042 42296056 46141152 61521536 63444084 84592112 92282304 123043072 126888168 169184224 184564608 246086144 253776336 338368448 369129216 507552672 676736896 738258432 1015105344 1353473792 2030210688 2706947584 4060421376 8120842752