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23425233252432 = 24311307647223361
BaseRepresentation
bin1010101001110000111001…
…01101001111000001010000
310001221102121210010012002120
411110320130231033001100
511032244334203034212
6121453223102014240
74635263055211434
oct524703455170120
9101842553105076
1023425233252432
117511649527140
122763b73277380
13100bcb40b5c6b
145adb0465a9c4
152a95263bc88c
hex154e1cb4f050

23425233252432 has 160 divisors (see below), whose sum is σ = 66334268335104. Its totient is φ = 7064465817600.

The previous prime is 23425233252427. The next prime is 23425233252493.

23425233252432 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, 104764432 + ... + 104987792.

Almost surely, 223425233252432 is an apocalyptic number.

23425233252432 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 23425233252432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33167134167552).

23425233252432 is an abundant number, since it is smaller than the sum of its proper divisors (42909035082672).

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

23425233252432 is a wasteful number, since it uses less digits than its factorization.

23425233252432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224337 (or 224331 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 2342523 and 3252432, that added together give a palindrome (5594955).

The spelling of 23425233252432 in words is "twenty-three trillion, four hundred twenty-five billion, two hundred thirty-three million, two hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 307 528 614 647 921 1228 1294 1842 1941 2456 2588 3377 3684 3882 4912 5176 6754 7117 7368 7764 10131 10352 13508 14234 14736 15528 20262 21351 27016 28468 31056 40524 42702 54032 56936 81048 85404 113872 162096 170808 198629 223361 341616 397258 446722 595887 670083 794516 893444 1191774 1340166 1589032 1786888 2184919 2383548 2456971 2680332 3178064 3573776 4369838 4767096 4913942 5360664 6554757 7370913 8739676 9534192 9827884 10721328 13109514 14741826 17479352 19655768 26219028 29483652 34958704 39311536 52438056 58967304 68571827 104876112 117934608 137143654 144514567 205715481 274287308 289029134 411430962 433543701 548574616 578058268 754290097 822861924 867087402 1097149232 1156116536 1508580194 1589660237 1645723848 1734174804 2262870291 2312233072 3017160388 3179320474 3291447696 3468349608 4525740582 4768980711 6034320776 6358640948 6936699216 9051481164 9537961422 12068641552 12717281896 18102962328 19075922844 25434563792 36205924656 38151845688 44365972069 76303691376 88731944138 133097916207 177463888276 266195832414 354927776552 488025692759 532391664828 709855553104 976051385518 1064783329656 1464077078277 1952102771036 2129566659312 2928154156554 3904205542072 5856308313108 7808411084144 11712616626216 23425233252432