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472341907968 = 293744997841
BaseRepresentation
bin1101101111110011100…
…01011000101000000000
31200011012022122001122120
412313321301120220000
530214324012023333
61000554010204240
746061033654460
oct6677161305000
91604168561576
10472341907968
111723567695a7
1277662423680
1335707011c48
1418c0bc35ba0
15c447907db3
hex6df9c58a00

472341907968 has 160 divisors (see below), whose sum is σ = 1441330070400. Its totient is φ = 134652887040.

The previous prime is 472341907967. The next prime is 472341907969. The reversal of 472341907968 is 869709143274.

It is an interprime number because it is at equal distance from previous prime (472341907967) and next prime (472341907969).

It is not an unprimeable number, because it can be changed into a prime (472341907967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4778728 + ... + 4876568.

It is an arithmetic number, because the mean of its divisors is an integer number (9008312940).

Almost surely, 2472341907968 is an apocalyptic number.

472341907968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472341907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720665035200).

472341907968 is an abundant number, since it is smaller than the sum of its proper divisors (968988162432).

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

472341907968 is an equidigital number, since it uses as much as digits as its factorization.

472341907968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98318 (or 98302 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 472341907968 in words is "four hundred seventy-two billion, three hundred forty-one million, nine hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 449 512 672 768 896 898 1344 1347 1536 1792 1796 2688 2694 3143 3584 3592 5376 5388 6286 7184 9429 10752 10776 12572 14368 18858 21552 25144 28736 37716 43104 50288 57472 75432 86208 97841 100576 114944 150864 172416 195682 201152 229888 293523 301728 344832 391364 402304 587046 603456 684887 689664 782728 804608 1174092 1206912 1369774 1565456 1609216 2054661 2348184 2413824 2739548 3130912 4109322 4696368 4827648 5479096 6261824 8218644 9392736 10958192 12523648 16437288 18785472 21916384 25047296 32874576 37570944 43832768 43930609 50094592 65749152 75141888 87665536 87861218 131498304 131791827 150283776 175331072 175722436 262996608 263583654 307514263 350662144 351444872 525993216 527167308 615028526 702889744 922542789 1051986432 1054334616 1230057052 1405779488 1845085578 2108669232 2460114104 2811558976 3690171156 4217338464 4920228208 5623117952 7380342312 8434676928 9840456416 11246235904 14760684624 16869353856 19680912832 22492471808 29521369248 33738707712 39361825664 59042738496 67477415424 78723651328 118085476992 157447302656 236170953984 472341907968