Search a number
-
+
23251013471520 = 2532594117158913
BaseRepresentation
bin1010100100101100011000…
…11001100000110100100000
310001022202221002212022210100
411102112030121200310200
511021421033422042040
6121241211303302400
74616554534415142
oct522261431406440
9101282832768710
1023251013471520
117454776a5212a
12273625144aa00
13cc873ab486c3
145a54d83bcc92
152a4c2b386b30
hex15258c660d20

23251013471520 has 144 divisors (see below), whose sum is σ = 79428406999032. Its totient is φ = 6193680875520.

The previous prime is 23251013471519. The next prime is 23251013471579. The reversal of 23251013471520 is 2517431015232.

23251013471520 is a `hidden beast` number, since 2 + 3 + 2 + 51 + 0 + 13 + 4 + 71 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20859425452944 + 2391588018576 = 4567212^2 + 1546476^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×232510134715202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 7224417 + ... + 9934496.

Almost surely, 223251013471520 is an apocalyptic number.

23251013471520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23251013471520 is an abundant number, since it is smaller than the sum of its proper divisors (56177393527512).

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

23251013471520 is a wasteful number, since it uses less digits than its factorization.

23251013471520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17159875 (or 17159864 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 23251013471520 its reverse (2517431015232), we get a palindrome (25768444486752).

The spelling of 23251013471520 in words is "twenty-three trillion, two hundred fifty-one billion, thirteen million, four hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 941 1440 1882 2823 3764 4705 5646 7528 8469 9410 11292 14115 15056 16938 18820 22584 28230 30112 33876 37640 42345 45168 56460 67752 75280 84690 90336 112920 135504 150560 169380 225840 271008 338760 451680 677520 1355040 17158913 34317826 51476739 68635652 85794565 102953478 137271304 154430217 171589130 205906956 257383695 274542608 308860434 343178260 411813912 514767390 549085216 617720868 686356520 772151085 823627824 1029534780 1235441736 1372713040 1544302170 1647255648 2059069560 2470883472 2745426080 3088604340 4118139120 4941766944 6177208680 8236278240 12354417360 16146537133 24708834720 32293074266 48439611399 64586148532 80732685665 96879222798 129172297064 145318834197 161465371330 193758445596 242198056995 258344594128 290637668394 322930742660 387516891192 484396113990 516689188256 581275336788 645861485320 726594170985 775033782384 968792227980 1162550673576 1291722970640 1453188341970 1550067564768 1937584455960 2325101347152 2583445941280 2906376683940 3875168911920 4650202694304 5812753367880 7750337823840 11625506735760 23251013471520