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4417734684272 = 2471329104626153
BaseRepresentation
bin100000001001001010110…
…0000011010111001110000
3120122022221112012101012012
41000102111200122321300
51034340010034344042
613221251310022052
7634112404145030
oct100222540327160
916568845171165
104417734684272
111453607071828
125b422a4a7928
1326078a6c16a0
14113b689c78c0
1579dae7eee82
hex4049581ae70

4417734684272 has 80 divisors (see below), whose sum is σ = 10897860200640. Its totient is φ = 1687410579456.

The previous prime is 4417734684239. The next prime is 4417734684289. The reversal of 4417734684272 is 2724864377144.

It is a happy number.

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, 52270853 + ... + 52355300.

It is an arithmetic number, because the mean of its divisors is an integer number (136223252508).

Almost surely, 24417734684272 is an apocalyptic number.

It is an amenable number.

4417734684272 is an abundant number, since it is smaller than the sum of its proper divisors (6480125516368).

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

4417734684272 is a wasteful number, since it uses less digits than its factorization.

4417734684272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104626210 (or 104626204 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 59.

The spelling of 4417734684272 in words is "four trillion, four hundred seventeen billion, seven hundred thirty-four million, six hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 112 116 182 203 208 232 364 377 406 464 728 754 812 1456 1508 1624 2639 3016 3248 5278 6032 10556 21112 42224 104626153 209252306 418504612 732383071 837009224 1360139989 1464766142 1674018448 2720279978 2929532284 3034158437 5440559956 5859064568 6068316874 9520979923 10881119912 11718129136 12136633748 19041959846 21239109059 21762239824 24273267496 38083919692 39444059681 42478218118 48546534992 76167839384 78888119362 84956436236 152335678768 157776238724 169912872472 276108417767 315552477448 339825744944 552216835534 631104954896 1104433671068 2208867342136 4417734684272