Search a number
-
+
525244342128 = 243112574997757
BaseRepresentation
bin1111010010010110000…
…00001001111101110000
31212012202011220011102220
413221023000021331300
532101200022422003
61041143253041040
752643021146422
oct7511300117560
91765664804386
10525244342128
11192833813370
1285967326180
133a6b819561c
141b5c9c12812
15d9e1ebd353
hex7a4b009f70

525244342128 has 160 divisors (see below), whose sum is σ = 1489163616000. Its totient is φ = 158207508480.

The previous prime is 525244342127. The next prime is 525244342151. The reversal of 525244342128 is 821243442525.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 525244342128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525244342123) 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, 67708426 + ... + 67716182.

It is an arithmetic number, because the mean of its divisors is an integer number (9307272600).

Almost surely, 2525244342128 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 525244342128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744581808000).

525244342128 is an abundant number, since it is smaller than the sum of its proper divisors (963919273872).

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

525244342128 is a wasteful number, since it uses less digits than its factorization.

525244342128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8535 (or 8529 counting only the distinct ones).

The product of its digits is 614400, while the sum is 42.

The spelling of 525244342128 in words is "five hundred twenty-five billion, two hundred forty-four million, three hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 257 264 499 514 528 771 998 1028 1497 1542 1996 2056 2827 2994 3084 3992 4112 5489 5654 5988 6168 7757 7984 8481 10978 11308 11976 12336 15514 16467 16962 21956 22616 23271 23952 31028 32934 33924 43912 45232 46542 62056 65868 67848 85327 87824 93084 124112 128243 131736 135696 170654 186168 255981 256486 263472 341308 372336 384729 511962 512972 682616 769458 1023924 1025944 1365232 1410673 1538916 1993549 2047848 2051888 2821346 3077832 3870743 3987098 4095696 4232019 5642692 5980647 6155664 7741486 7974196 8464038 11285384 11612229 11961294 15482972 15948392 16928076 21929039 22570768 23224458 23922588 30965944 31896784 33856152 42578173 43858078 46448916 47845176 61931888 65787117 67712304 85156346 87716156 92897832 95690352 127734519 131574234 170312692 175432312 185795664 255469038 263148468 340625384 350864624 510938076 526296936 681250768 994780951 1021876152 1052593872 1989561902 2043752304 2984342853 3979123804 5968685706 7958247608 10942590461 11937371412 15916495216 21885180922 23874742824 32827771383 43770361844 47749485648 65655542766 87540723688 131311085532 175081447376 262622171064 525244342128