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23513050240 = 275196131699
BaseRepresentation
bin10101111001011111…
…001010110010000000
32020200122221201012121
4111321133022302000
5341123320101430
614445102134024
71461450425611
oct257137126200
966618851177
1023513050240
119a7655a729
124682581314
1322a94632a4
1411d0abdc08
159293a4a7a
hex5797cac80

23513050240 has 128 divisors (see below), whose sum is σ = 60141240000. Its totient is φ = 8763863040.

The previous prime is 23513050237. The next prime is 23513050277. The reversal of 23513050240 is 4205031532.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725911 + ... + 757609.

Almost surely, 223513050240 is an apocalyptic number.

23513050240 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 23513050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30070620000).

23513050240 is an abundant number, since it is smaller than the sum of its proper divisors (36628189760).

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

23513050240 is a wasteful number, since it uses less digits than its factorization.

23513050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31798 (or 31786 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 23513050240 its reverse (4205031532), we get a palindrome (27718081772).

The spelling of 23513050240 in words is "twenty-three billion, five hundred thirteen million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 61 64 76 80 95 122 128 152 160 190 244 304 305 320 380 488 608 610 640 760 976 1159 1216 1220 1520 1952 2318 2432 2440 3040 3904 4636 4880 5795 6080 7808 9272 9760 11590 12160 18544 19520 23180 31699 37088 39040 46360 63398 74176 92720 126796 148352 158495 185440 253592 316990 370880 507184 602281 633980 741760 1014368 1204562 1267960 1933639 2028736 2409124 2535920 3011405 3867278 4057472 4818248 5071840 6022810 7734556 9636496 9668195 10143680 12045620 15469112 19272992 19336390 20287360 24091240 30938224 36739141 38545984 38672780 48182480 61876448 73478282 77091968 77345560 96364960 123752896 146956564 154691120 183695705 192729920 247505792 293913128 309382240 367391410 385459840 587826256 618764480 734782820 1175652512 1237528960 1469565640 2351305024 2939131280 4702610048 5878262560 11756525120 23513050240