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25254122145252 = 223711132102407771
BaseRepresentation
bin1011011110111111011101…
…11110101100010111100100
310022102021022012020011102120
411233133232332230113210
511302230420232122002
6125413330014105540
75214356455255020
oct557375676542744
9108367265204376
1025254122145252
118057238639560
1229ba5024ab2b0
1311125b8453a90
1463443da83380
152dbdb7222cbc
hex16f7eefac5e4

25254122145252 has 96 divisors (see below), whose sum is σ = 79117809275904. Its totient is φ = 6054934377600.

The previous prime is 25254122145251. The next prime is 25254122145253.

25254122145252 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (25254122145251) and next prime (25254122145253).

It is a super-2 number, since 2×252541221452522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (25254122145251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051191874 + ... + 1051215897.

It is an arithmetic number, because the mean of its divisors is an integer number (824143846624).

Almost surely, 225254122145252 is an apocalyptic number.

25254122145252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25254122145252 is an abundant number, since it is smaller than the sum of its proper divisors (53863687130652).

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

25254122145252 is a wasteful number, since it uses less digits than its factorization.

25254122145252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102407809 (or 2102407807 counting only the distinct ones).

The product of its digits is 640000, while the sum is 42.

The spelling of 25254122145252 in words is "twenty-five trillion, two hundred fifty-four billion, one hundred twenty-two million, one hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 2102407771 4204815542 6307223313 8409631084 12614446626 14716854397 23126485481 25228893252 27331301023 29433708794 44150563191 46252970962 54662602046 58867417588 69379456443 81993903069 88301126382 92505941924 109325204092 138758912886 161885398367 163987806138 176602252764 191319107161 277517825772 300644311253 323770796734 327975612276 382638214322 485656195101 573957321483 601288622506 647541593468 765276428644 901932933759 971312390202 1147914642966 1202577245012 1803865867518 1942624780404 2104510178771 2295829285932 3607731735036 4209020357542 6313530536313 8418040715084 12627061072626 25254122145252