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23104005072 = 2434753199971
BaseRepresentation
bin10101100001000110…
…110010001111010000
32012122011021001201120
4111201012302033100
5334304111130242
614340331002240
71445352542241
oct254106621720
965564231646
1023104005072
119886676a75
124589599380
1322427a5925
141192642cc8
159035061ec
hex5611b23d0

23104005072 has 160 divisors (see below), whose sum is σ = 62481715200. Its totient is φ = 7350520320.

The previous prime is 23104005061. The next prime is 23104005121. The reversal of 23104005072 is 27050040132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23793547 + ... + 23794517.

It is an arithmetic number, because the mean of its divisors is an integer number (390510720).

Almost surely, 223104005072 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 23104005072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31240857600).

23104005072 is an abundant number, since it is smaller than the sum of its proper divisors (39377710128).

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

23104005072 is a wasteful number, since it uses less digits than its factorization.

23104005072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 23104005072 in words is "twenty-three billion, one hundred four million, five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 53 94 106 141 159 188 199 212 282 318 376 398 424 564 597 636 752 796 848 971 1128 1194 1272 1592 1942 2256 2388 2491 2544 2913 3184 3884 4776 4982 5826 7473 7768 9353 9552 9964 10547 11652 14946 15536 18706 19928 21094 23304 28059 29892 31641 37412 39856 42188 45637 46608 51463 56118 59784 63282 74824 84376 91274 102926 112236 119568 126564 136911 149648 154389 168752 182548 193229 205852 224472 253128 273822 308778 365096 386458 411704 448944 495709 506256 547644 579687 617556 730192 772916 823408 991418 1095288 1159374 1235112 1487127 1545832 1982836 2190576 2318748 2418761 2470224 2974254 3091664 3965672 4637496 4837522 5948508 7256283 7931344 9081763 9274992 9675044 10241137 11897016 14512566 18163526 19350088 20482274 23794032 27245289 29025132 30723411 36327052 38700176 40964548 54490578 58050264 61446822 72654104 81929096 108981156 116100528 122893644 145308208 163858192 217962312 245787288 435924624 481333439 491574576 962666878 1444000317 1925333756 2888000634 3850667512 5776001268 7701335024 11552002536 23104005072