Search a number
-
+
23688503612400 = 24352111794583607
BaseRepresentation
bin1010110001011011010001…
…10101111101001111110000
310002212121011112202011211110
411120231220311331033300
511101103023411044100
6122214203123313320
74663303126306344
oct530555065751760
9102777145664743
1023688503612400
117603268805230
1227a6ba7b1b840
13102aa7c567453
145bc75b693624
152b12d4240250
hex158b68d7d3f0

23688503612400 has 120 divisors (see below), whose sum is σ = 82780552669824. Its totient is φ = 5742667539200.

The previous prime is 23688503612383. The next prime is 23688503612401. The reversal of 23688503612400 is 421630588632.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×236885036124002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23688503612400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23688503612401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897278604 + ... + 897305003.

Almost surely, 223688503612400 is an apocalyptic number.

23688503612400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23688503612400 is an abundant number, since it is smaller than the sum of its proper divisors (59092049057424).

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

23688503612400 is a wasteful number, since it uses less digits than its factorization.

23688503612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794583639 (or 1794583628 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 23688503612400 in words is "twenty-three trillion, six hundred eighty-eight billion, five hundred three million, six hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 1794583607 3589167214 5383750821 7178334428 8972918035 10767501642 14356668856 17945836070 19740419677 21535003284 26918754105 28713337712 35891672140 39480839354 43070006568 44864590175 53837508210 59221259031 71783344280 78961678708 86140013136 89729180350 98702098385 107675016420 118442518062 134593770525 143566688560 157923357416 179458360700 197404196770 215350032840 236885036124 269187541050 296106295155 315846714832 358916721400 394808393540 430700065680 473770072248 493510491925 538375082100 592212590310 717833442800 789616787080 947540144496 987020983850 1076750164200 1184425180620 1480531475775 1579233574160 1974041967700 2153500328400 2368850361240 2961062951550 3948083935400 4737700722480 5922125903100 7896167870800 11844251806200 23688503612400