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8074414845 = 3257233135951
BaseRepresentation
bin1111000010100010…
…11100101011111101
3202211201102202212200
413201101130223331
5113014022233340
63413114422113
7404043252030
oct74121345375
922751382780
108074414845
113473884422
121694131939
139b8a99283
14568519017
15323ce9330
hex1e145cafd

8074414845 has 96 divisors (see below), whose sum is σ = 17229348864. Its totient is φ = 3416688000.

The previous prime is 8074414841. The next prime is 8074414849. The reversal of 8074414845 is 5484144708.

It is an interprime number because it is at equal distance from previous prime (8074414841) and next prime (8074414849).

It is not a de Polignac number, because 8074414845 - 22 = 8074414841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8074414845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8074414841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206620 + ... + 242570.

It is an arithmetic number, because the mean of its divisors is an integer number (179472384).

Almost surely, 28074414845 is an apocalyptic number.

It is an amenable number.

8074414845 is an abundant number, since it is smaller than the sum of its proper divisors (9154934019).

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

8074414845 is a wasteful number, since it uses less digits than its factorization.

8074414845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36023 (or 36020 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The square root of 8074414845 is about 89857.7478295556. The cubic root of 8074414845 is about 2006.1821081634.

The spelling of 8074414845 in words is "eight billion, seventy-four million, four hundred fourteen thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 31 35 45 63 69 93 105 115 155 161 207 217 279 315 345 465 483 651 713 805 1035 1085 1395 1449 1953 2139 2415 3255 3565 4991 6417 7245 9765 10695 14973 24955 32085 35951 44919 74865 107853 179755 224595 251657 323559 539265 754971 826873 1114481 1258285 1617795 2264913 2480619 3343443 3774855 4134365 5572405 5788111 7441857 7801367 10030329 11324565 12403095 16717215 17364333 23404101 25633063 28940555 37209285 39006835 50151645 52092999 70212303 76899189 86821665 117020505 128165315 179431441 230697567 260464995 351061515 384495945 538294323 897157205 1153487835 1614882969 2691471615 8074414845