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474183383968 = 257173108711257
BaseRepresentation
bin1101110011001111000…
…10000011101110100000
31200022221122200201211101
412321213202003232200
530232111421241333
61001500431324144
746154464155250
oct6714742035640
91608848621741
10474183383968
11173111181798
1277a97080654
133593b694608
1418d44627960
15c50440567d
hex6e67883ba0

474183383968 has 96 divisors (see below), whose sum is σ = 1074162345984. Its totient is φ = 201842952192.

The previous prime is 474183383923. The next prime is 474183383969. The reversal of 474183383968 is 869383381474.

It is not an unprimeable number, because it can be changed into a prime (474183383969) 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 15 ways as a sum of consecutive naturals, for example, 42117796 + ... + 42129052.

It is an arithmetic number, because the mean of its divisors is an integer number (11189191104).

Almost surely, 2474183383968 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 474183383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537081172992).

474183383968 is an abundant number, since it is smaller than the sum of its proper divisors (599978962016).

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

474183383968 is a wasteful number, since it uses less digits than its factorization.

474183383968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12534 (or 12526 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 64.

The spelling of 474183383968 in words is "four hundred seventy-four billion, one hundred eighty-three million, three hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 173 224 346 692 1087 1211 1384 2174 2422 2768 4348 4844 5536 7609 8696 9688 11257 15218 17392 19376 22514 30436 34784 38752 45028 60872 78799 90056 121744 157598 180112 188051 243488 315196 360224 376102 630392 752204 1260784 1316357 1504408 1947461 2521568 2632714 3008816 3894922 5265428 6017632 7789844 10530856 12236359 13632227 15579688 21061712 24472718 27264454 31159376 42123424 48945436 54528908 62318752 85654513 97890872 109057816 171309026 195781744 218115632 342618052 391563488 436231264 685236104 1370472208 2116890107 2740944416 4233780214 8467560428 14818230749 16935120856 29636461498 33870241712 59272922996 67740483424 118545845992 237091691984 474183383968