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505050505056 = 25323197757901
BaseRepresentation
bin1110101100101110101…
…10110001111101100000
31210021121211121221201100
413112113112301331200
531233320412130211
61024003401034400
751326423314026
oct7262726617540
91707554557640
10505050505056
11185210930719
1281a70485a00
133881a5b08c6
141a631cb0716
15d20e214156
hex75975b1f60

505050505056 has 144 divisors (see below), whose sum is σ = 1484110712448. Its totient is φ = 162749952000.

The previous prime is 505050505049. The next prime is 505050505061. The reversal of 505050505056 is 650505050505.

505050505056 is a `hidden beast` number, since 5 + 0 + 50 + 50 + 50 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 505050505056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8693706 + ... + 8751606.

It is an arithmetic number, because the mean of its divisors is an integer number (10306324392).

Almost surely, 2505050505056 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 505050505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742055356224).

505050505056 is an abundant number, since it is smaller than the sum of its proper divisors (979060207392).

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

505050505056 is a wasteful number, since it uses less digits than its factorization.

505050505056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58925 (or 58914 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 505050505056 in words is "five hundred five billion, fifty million, five hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 977 992 1116 1488 1954 2232 2931 2976 3908 4464 5862 7816 8793 8928 11724 15632 17586 23448 30287 31264 35172 46896 57901 60574 70344 90861 93792 115802 121148 140688 173703 181722 231604 242296 272583 281376 347406 363444 463208 484592 521109 545166 694812 726888 926416 969184 1042218 1090332 1389624 1453776 1794931 1852832 2084436 2180664 2779248 2907552 3589862 4168872 4361328 5384793 5558496 7179724 8337744 8722656 10769586 14359448 16154379 16675488 21539172 28718896 32308758 43078344 56569277 57437792 64617516 86156688 113138554 129235032 169707831 172313376 226277108 258470064 339415662 452554216 509123493 516940128 678831324 905108432 1018246986 1357662648 1753647587 1810216864 2036493972 2715325296 3507295174 4072987944 5260942761 5430650592 7014590348 8145975888 10521885522 14029180696 15782828283 16291951776 21043771044 28058361392 31565656566 42087542088 56116722784 63131313132 84175084176 126262626264 168350168352 252525252528 505050505056