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23383459080 = 2334538918553
BaseRepresentation
bin10101110001110000…
…110100010100001000
32020100122002210120000
4111301300310110020
5340342131142310
614424152403000
71455315060042
oct256160642410
966318083500
1023383459080
119a0a3979a3
1246470a6460
13228865b927
1411bb7c8a92
1591cd074c0
hex571c34508

23383459080 has 160 divisors (see below), whose sum is σ = 78800693400. Its totient is φ = 6219224064.

The previous prime is 23383459037. The next prime is 23383459093. The reversal of 23383459080 is 8095438332.

23383459080 is a `hidden beast` number, since 23 + 3 + 8 + 34 + 590 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9833102244 + 13550356836 = 99162^2 + 116406^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1251084 + ... + 1269636.

Almost surely, 223383459080 is an apocalyptic number.

23383459080 is a gapful number since it is divisible by the number (20) 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 23383459080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39400346700).

23383459080 is an abundant number, since it is smaller than the sum of its proper divisors (55417234320).

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

23383459080 is a wasteful number, since it uses less digits than its factorization.

23383459080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18965 (or 18952 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 23383459080 in words is "twenty-three billion, three hundred eighty-three million, four hundred fifty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 389 405 540 648 778 810 1080 1167 1556 1620 1945 2334 3112 3240 3501 3890 4668 5835 7002 7780 9336 10503 11670 14004 15560 17505 18553 21006 23340 28008 31509 35010 37106 42012 46680 52515 55659 63018 70020 74212 84024 92765 105030 111318 126036 140040 148424 157545 166977 185530 210060 222636 252072 278295 315090 333954 371060 420120 445272 500931 556590 630180 667908 742120 834885 1001862 1113180 1260360 1335816 1502793 1669770 2003724 2226360 2504655 3005586 3339540 4007448 5009310 6011172 6679080 7217117 7513965 10018620 12022344 14434234 15027930 20037240 21651351 28868468 30055860 36085585 43302702 57736936 60111720 64954053 72171170 86605404 108256755 129908106 144342340 173210808 194862159 216513510 259816212 288684680 324770265 389724318 433027020 519632424 584586477 649540530 779448636 866054040 974310795 1169172954 1299081060 1558897272 1948621590 2338345908 2598162120 2922932385 3897243180 4676691816 5845864770 7794486360 11691729540 23383459080