Search a number
-
+
520130122452 = 2232176759321391
BaseRepresentation
bin1111001000110100010…
…10111101001011010100
31211201112202120212221100
413210122022331023110
532010211302404302
61034540001350100
752402211044113
oct7443212751324
91751482525840
10520130122452
11190649992436
128497a638330
133a081784b35
141b2628dbc7a
15d7e3003d1c
hex791a2bd2d4

520130122452 has 144 divisors (see below), whose sum is σ = 1415339557632. Its totient is φ = 160464015360.

The previous prime is 520130122439. The next prime is 520130122471. The reversal of 520130122452 is 254221031025.

520130122452 is a `hidden beast` number, since 5 + 201 + 3 + 0 + 1 + 2 + 2 + 452 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24304677 + ... + 24326067.

It is an arithmetic number, because the mean of its divisors is an integer number (9828746928).

Almost surely, 2520130122452 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 520130122452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707669778816).

520130122452 is an abundant number, since it is smaller than the sum of its proper divisors (895209435180).

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

520130122452 is a wasteful number, since it uses less digits than its factorization.

520130122452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22078 (or 22073 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 520130122452 its reverse (254221031025), we get a palindrome (774351153477).

The spelling of 520130122452 in words is "five hundred twenty billion, one hundred thirty million, one hundred twenty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 134 153 201 204 268 306 402 593 603 612 804 1139 1186 1206 1779 2278 2372 2412 3417 3558 4556 5337 6834 7116 10081 10251 10674 13668 20162 20502 21348 21391 30243 39731 40324 41004 42782 60486 64173 79462 85564 90729 119193 120972 128346 158924 181458 192519 238386 256692 357579 362916 363647 385038 476772 675427 715158 727294 770076 1090941 1350854 1430316 1433197 1454588 2026281 2181882 2701708 2866394 3272823 4052562 4299591 4363764 5732788 6078843 6545646 8105124 8599182 12157686 12684863 12898773 13091292 17198364 24315372 24364349 25369726 25797546 38054589 48728698 50739452 51595092 73093047 76109178 97457396 114163767 146186094 152218356 215642671 219279141 228327534 292372188 431285342 438558282 456655068 646928013 849885821 862570684 877116564 1293856026 1699771642 1940784039 2549657463 2587712052 3399543284 3881568078 5099314926 7648972389 7763136156 10198629852 14448058957 15297944778 28896117914 30595889556 43344176871 57792235828 86688353742 130032530613 173376707484 260065061226 520130122452