Search a number
-
+
470318872576 = 211753618997
BaseRepresentation
bin1101101100000010011…
…00000111100000000000
31122221222022221012210211
412312001030013200000
530201203112410301
61000021141403504
745656640312220
oct6660114074000
91587868835724
10470318872576
11171508819123
1277198a09594
1335473b60997
1418a992a2080
15c379ee5051
hex6d81307800

470318872576 has 96 divisors (see below), whose sum is σ = 1095032221920. Its totient is φ = 197761794048.

The previous prime is 470318872547. The next prime is 470318872589. The reversal of 470318872576 is 675278813074.

It is a self number, because there is not a number n which added to its sum of digits gives 470318872576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450310 + ... + 1069306.

It is an arithmetic number, because the mean of its divisors is an integer number (11406585645).

Almost surely, 2470318872576 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 470318872576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547516110960).

470318872576 is an abundant number, since it is smaller than the sum of its proper divisors (624713349344).

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

470318872576 is an equidigital number, since it uses as much as digits as its factorization.

470318872576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619079 (or 619059 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 58.

The spelling of 470318872576 in words is "four hundred seventy billion, three hundred eighteen million, eight hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 512 742 848 896 1024 1484 1696 1792 2048 2968 3392 3584 5936 6784 7168 11872 13568 14336 23744 27136 47488 54272 94976 108544 189952 379904 618997 759808 1237994 2475988 4332979 4951976 8665958 9903952 17331916 19807904 32806841 34663832 39615808 65613682 69327664 79231616 131227364 138655328 158463232 229647887 262454728 277310656 316926464 459295774 524909456 554621312 633852928 918591548 1049818912 1109242624 1267705856 1837183096 2099637824 2218485248 3674366192 4199275648 4436970496 7348732384 8398551296 8873940992 14697464768 16797102592 29394929536 33594205184 58789859072 67188410368 117579718144 235159436288 470318872576