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25122434304 = 283112270343
BaseRepresentation
bin10111011001011010…
…011110110100000000
32101211211021220002210
4113121122132310000
5402422320344204
615312512542120
71546362111462
oct273132366400
971754256083
1025122434304
11a721a60800
124a51551940
1324a4a03456
141304738132
159c0809389
hex5d969ed00

25122434304 has 108 divisors (see below), whose sum is σ = 73493557088. Its totient is φ = 7612830720.

The previous prime is 25122434297. The next prime is 25122434329. The reversal of 25122434304 is 40343422152.

It is a super-2 number, since 2×251224343042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 42244 + ... + 228099.

Almost surely, 225122434304 is an apocalyptic number.

25122434304 is a gapful number since it is divisible by the number (24) 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 25122434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36746778544).

25122434304 is an abundant number, since it is smaller than the sum of its proper divisors (48371122784).

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

25122434304 is a wasteful number, since it uses less digits than its factorization.

25122434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270384 (or 270359 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 25122434304 its reverse (40343422152), we get a palindrome (65465856456).

The spelling of 25122434304 in words is "twenty-five billion, one hundred twenty-two million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1408 1452 1936 2112 2816 2904 3872 4224 5808 7744 8448 11616 15488 23232 30976 46464 92928 270343 540686 811029 1081372 1622058 2162744 2973773 3244116 4325488 5947546 6488232 8650976 8921319 11895092 12976464 17301952 17842638 23790184 25952928 32711503 34603904 35685276 47580368 51905856 65423006 69207808 71370552 95160736 98134509 103811712 130846012 142741104 190321472 196269018 207623424 261692024 285482208 380642944 392538036 523384048 570964416 761285888 785076072 1046768096 1141928832 1570152144 2093536192 2283857664 3140304288 4187072384 6280608576 8374144768 12561217152 25122434304