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8022420983152 = 2417233241525247
BaseRepresentation
bin111010010111101110110…
…0011011000110101110000
31001101221021022102100122201
41310233131203120311300
52022414404232430102
625021241015312544
71455413033142112
oct164573543306560
931357238370581
108022420983152
112613320556784
12a9697067b754
13462684a234b4
141da4042c73b2
15dda354ee987
hex74bdd8d8d70

8022420983152 has 80 divisors (see below), whose sum is σ = 16597009009152. Its totient is φ = 3743449251840.

The previous prime is 8022420983113. The next prime is 8022420983287. The reversal of 8022420983152 is 2513890242208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15010993 + ... + 15536239.

Almost surely, 28022420983152 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 8022420983152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298504504576).

8022420983152 is an abundant number, since it is smaller than the sum of its proper divisors (8574588026000).

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

8022420983152 is a wasteful number, since it uses less digits than its factorization.

8022420983152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525746 (or 525740 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 8022420983152 in words is "eight trillion, twenty-two billion, four hundred twenty million, nine hundred eighty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 233 241 272 466 482 932 964 1864 1928 3728 3856 3961 4097 7922 8194 15844 16388 31688 32776 56153 63376 65552 112306 224612 449224 525247 898448 954601 1050494 1909202 2100988 3818404 4201976 7636808 8403952 8929199 15273616 17858398 35716796 71433592 122382551 126584527 142867184 244765102 253169054 489530204 506338108 979060408 1012676216 1958120816 2025352432 2080503367 2151936959 4161006734 4303873918 8322013468 8607747836 16644026936 17215495672 29494194791 33288053872 34430991344 58988389582 117976779164 235953558328 471907116656 501401311447 1002802622894 2005605245788 4011210491576 8022420983152