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23245344354232 = 23711139901293179
BaseRepresentation
bin1010100100100001110100…
…11111100010111110111000
310001022020022000102022212101
411102100322133202332320
511021322431123313412
6121234432550353144
74616264205622330
oct522207237427670
9101266260368771
1023245344354232
117452327979430
12273512a95b7b4
13cc80464a1430
145a511b5020c0
152a49e880d457
hex15243a7e2fb8

23245344354232 has 128 divisors (see below), whose sum is σ = 58525858137600. Its totient is φ = 8359091136000.

The previous prime is 23245344354179. The next prime is 23245344354289.

23245344354232 is nontrivially palindromic in base 10.

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, 79140619 + ... + 79433797.

It is an arithmetic number, because the mean of its divisors is an integer number (457233266700).

Almost surely, 223245344354232 is an apocalyptic number.

23245344354232 is a gapful number since it is divisible by the number (22) 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 23245344354232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29262929068800).

23245344354232 is an abundant number, since it is smaller than the sum of its proper divisors (35280513783368).

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

23245344354232 is a wasteful number, since it uses less digits than its factorization.

23245344354232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303117 (or 303113 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 46.

It can be divided in two parts, 2324534 and 4354232, that added together give a palindrome (6678766).

The spelling of 23245344354232 in words is "twenty-three trillion, two hundred forty-five billion, three hundred forty-four million, three hundred fifty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 9901 19802 39604 69307 79208 108911 128713 138614 217822 257426 277228 293179 435644 514852 554456 586358 762377 871288 900991 1029704 1172716 1415843 1524754 1801982 2052253 2345432 2831686 3049508 3224969 3603964 3811327 4104506 5663372 6099016 6449938 7207928 7622654 8209012 9910901 11326744 12899876 15245308 16418024 19821802 22574783 25799752 26679289 30490616 39643604 41924597 45149566 53358578 79287208 83849194 90299132 106717156 167698388 180598264 213434312 293472179 335396776 586944358 1173888716 2347777432 2902765279 5805530558 11611061116 20319356953 23222122232 31930418069 37735948627 40638713906 63860836138 75471897254 81277427812 127721672276 150943794508 162554855624 223512926483 255443344552 264151640389 301887589016 415095434897 447025852966 528303280778 830190869794 894051705932 1056606561556 1660381739588 1788103411864 2113213123112 2905668044279 3320763479176 5811336088558 11622672177116 23245344354232