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51525220224 = 2731915146769
BaseRepresentation
bin101111111111001001…
…000111011110000000
311220222212210101102210
4233333021013132000
51321010424021344
635400444142120
73502562100642
oct577711073600
9156885711383
1051525220224
111a940709635
129b9b837940
134b21a524ba
1426cb11a892
151518721db9
hexbff247780

51525220224 has 128 divisors (see below), whose sum is σ = 145024416000. Its totient is φ = 16163020800.

The previous prime is 51525220211. The next prime is 51525220237. The reversal of 51525220224 is 42202252515.

It is an interprime number because it is at equal distance from previous prime (51525220211) and next prime (51525220237).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×515252202242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51525220191 and 51525220200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078312 + ... + 1125080.

It is an arithmetic number, because the mean of its divisors is an integer number (1133003250).

Almost surely, 251525220224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51525220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72512208000).

51525220224 is an abundant number, since it is smaller than the sum of its proper divisors (93499195776).

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

51525220224 is a wasteful number, since it uses less digits than its factorization.

51525220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46956 (or 46944 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 51525220224 its reverse (42202252515), we get a palindrome (93727472739).

The spelling of 51525220224 in words is "fifty-one billion, five hundred twenty-five million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 151 152 192 228 302 304 384 453 456 604 608 906 912 1208 1216 1812 1824 2416 2432 2869 3624 3648 4832 5738 7248 7296 8607 9664 11476 14496 17214 19328 22952 28992 34428 45904 46769 57984 68856 91808 93538 137712 140307 183616 187076 275424 280614 367232 374152 550848 561228 748304 888611 1101696 1122456 1496608 1777222 2244912 2665833 2993216 3554444 4489824 5331666 5986432 7062119 7108888 8979648 10663332 14124238 14217776 17959296 21186357 21326664 28248476 28435552 42372714 42653328 56496952 56871104 84745428 85306656 112993904 113742208 134180261 169490856 170613312 225987808 268360522 338981712 341226624 402540783 451975616 536721044 677963424 805081566 903951232 1073442088 1355926848 1610163132 2146884176 2711853696 3220326264 4293768352 6440652528 8587536704 12881305056 17175073408 25762610112 51525220224