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4525121040 = 2435116725583
BaseRepresentation
bin1000011011011011…
…11101111000010000
3102200100210222002120
410031231331320100
533231412333130
62025005014240
7220064615466
oct41555757020
912610728076
104525121040
111a12349460
12a63554380
13571660b1b
1430cda8836
151b7401910
hex10db7de10

4525121040 has 160 divisors (see below), whose sum is σ = 15532148736. Its totient is φ = 1080583680.

The previous prime is 4525121033. The next prime is 4525121071. The reversal of 4525121040 is 401215254.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4525121040.

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 31 ways as a sum of consecutive naturals, for example, 164089 + ... + 189671.

Almost surely, 24525121040 is an apocalyptic number.

4525121040 is a gapful number since it is divisible by the number (40) 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 4525121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766074368).

4525121040 is an abundant number, since it is smaller than the sum of its proper divisors (11007027696).

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

4525121040 is a wasteful number, since it uses less digits than its factorization.

4525121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25677 (or 25671 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4525121040 is about 67269.0199125868. The cubic root of 4525121040 is about 1654.0300678767.

Adding to 4525121040 its reverse (401215254), we get a palindrome (4926336294).

The spelling of 4525121040 in words is "four billion, five hundred twenty-five million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 67 80 88 110 120 132 134 165 176 201 220 240 264 268 330 335 402 440 528 536 660 670 737 804 880 1005 1072 1320 1340 1474 1608 2010 2211 2640 2680 2948 3216 3685 4020 4422 5360 5896 7370 8040 8844 11055 11792 14740 16080 17688 22110 25583 29480 35376 44220 51166 58960 76749 88440 102332 127915 153498 176880 204664 255830 281413 306996 383745 409328 511660 562826 613992 767490 844239 1023320 1125652 1227984 1407065 1534980 1688478 1714061 2046640 2251304 2814130 3069960 3376956 3428122 4221195 4502608 5142183 5628260 6139920 6753912 6856244 8442390 8570305 10284366 11256520 13507824 13712488 16884780 17140610 18854671 20568732 22513040 25710915 27424976 33769560 34281220 37709342 41137464 51421830 56564013 67539120 68562440 75418684 82274928 94273355 102843660 113128026 137124880 150837368 188546710 205687320 226256052 282820065 301674736 377093420 411374640 452512104 565640130 754186840 905024208 1131280260 1508373680 2262560520 4525121040