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434201770968 = 2337352745599
BaseRepresentation
bin1100101000110000111…
…00010011101111011000
31112111202021020100112220
412110120130103233120
524103221123132333
6531245230504040
743240632105000
oct6243034235730
91474667210486
10434201770968
11158164642119
1270199365020
1331c3937c244
1417030685000
15b4643518b3
hex6518713bd8

434201770968 has 64 divisors (see below), whose sum is σ = 1265894400000. Its totient is φ = 124057646496.

The previous prime is 434201770957. The next prime is 434201770979. The reversal of 434201770968 is 869077102434.

It is an interprime number because it is at equal distance from previous prime (434201770957) and next prime (434201770979).

It is a self number, because there is not a number n which added to its sum of digits gives 434201770968.

It is a congruent number.

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, 26364568 + ... + 26381031.

It is an arithmetic number, because the mean of its divisors is an integer number (19779600000).

Almost surely, 2434201770968 is an apocalyptic number.

It is an amenable number.

434201770968 is an abundant number, since it is smaller than the sum of its proper divisors (831692629032).

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

434201770968 is a wasteful number, since it uses less digits than its factorization.

434201770968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52745629 (or 52745611 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 434201770968 in words is "four hundred thirty-four billion, two hundred one million, seven hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 52745599 105491198 158236797 210982396 316473594 369219193 421964792 632947188 738438386 1107657579 1265894376 1476876772 2215315158 2584534351 2953753544 4430630316 5169068702 7753603053 8861260632 10338137404 15507206106 18091740457 20676274808 31014412212 36183480914 54275221371 62028824424 72366961828 108550442742 144733923656 217100885484 434201770968