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290480167702816 = 25713360132769911
BaseRepresentation
bin100001000001100001010111…
…1001101011101000100100000
31102002111122002022221222000221
41002003002233031131010200
5301033211340412442231
62505444425151252424
7115120333230205540
oct10203025715350440
91362448068858027
10290480167702816
1184612a46958553
12286b500451a114
13c6112156a9290
1451a345aa1b320
15238b0c83acd11
hex10830af35d120

290480167702816 has 96 divisors (see below), whose sum is σ = 703875589579008. Its totient is φ = 114911998755840.

The previous prime is 290480167702799. The next prime is 290480167702849. The reversal of 290480167702816 is 618207761084092.

It is a super-2 number, since 2×2904801677028162 (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 103484901 + ... + 106254811.

It is an arithmetic number, because the mean of its divisors is an integer number (7332037391448).

Almost surely, 2290480167702816 is an apocalyptic number.

290480167702816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

290480167702816 is an abundant number, since it is smaller than the sum of its proper divisors (413395421876192).

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

290480167702816 is a wasteful number, since it uses less digits than its factorization.

290480167702816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805954 (or 2805946 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 290480167702816 in words is "two hundred ninety trillion, four hundred eighty billion, one hundred sixty-seven million, seven hundred two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 36013 72026 144052 252091 288104 468169 504182 576208 936338 1008364 1152416 1872676 2016728 2769911 3277183 3745352 4033456 5539822 6554366 7490704 8066912 11079644 13108732 14981408 19389377 22159288 26217464 36008843 38778754 44318576 52434928 72017686 77557508 88637152 104869856 144035372 155115016 252061901 288070744 310230032 504123802 576141488 620460064 1008247604 1152282976 2016495208 4032990416 8065980832 99752804843 199505609686 399011219372 698269633901 798022438744 1296786462959 1396539267802 1596044877488 2593572925918 2793078535604 3192089754976 5187145851836 5586157071208 9077505240713 10374291703672 11172314142416 18155010481426 20748583407344 22344628284832 36310020962852 41497166814688 72620041925704 145240083851408 290480167702816