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516480197472 = 253219372550973
BaseRepresentation
bin1111000010000001001…
…11100110001101100000
31211101010101121111010200
413201000213212031200
531430222412304342
61033133455025200
752212601146321
oct7410047461540
91741111544120
10516480197472
1118a046674808
128412020b200
133991c544805
141add7c74448
15d67c87e94c
hex78409e6360

516480197472 has 144 divisors (see below), whose sum is σ = 1587828256560. Its totient is φ = 158690866176.

The previous prime is 516480197419. The next prime is 516480197483. The reversal of 516480197472 is 274791084615.

516480197472 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 80 + 1 + 97 + 472 = 666.

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

It is a super-2 number, since 2×5164801974722 (a number of 24 digits) contains 22 as substring.

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, 1073023 + ... + 1477950.

It is an arithmetic number, because the mean of its divisors is an integer number (11026585115).

Almost surely, 2516480197472 is an apocalyptic number.

It is an amenable number.

516480197472 is an abundant number, since it is smaller than the sum of its proper divisors (1071348059088).

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

516480197472 is a wasteful number, since it uses less digits than its factorization.

516480197472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551045 (or 2551034 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 516480197472 in words is "five hundred sixteen billion, four hundred eighty million, one hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 37 38 48 57 72 74 76 96 111 114 144 148 152 171 222 228 288 296 304 333 342 444 456 592 608 666 684 703 888 912 1184 1332 1368 1406 1776 1824 2109 2664 2736 2812 3552 4218 5328 5472 5624 6327 8436 10656 11248 12654 16872 22496 25308 33744 50616 67488 101232 202464 2550973 5101946 7652919 10203892 15305838 20407784 22958757 30611676 40815568 45917514 48468487 61223352 81631136 91835028 94386001 96936974 122446704 145405461 183670056 188772002 193873948 244893408 283158003 290810922 367340112 377544004 387747896 436216383 566316006 581621844 734680224 755088008 775495792 849474009 872432766 1132632012 1163243688 1510176016 1550991584 1698948018 1744865532 1793334019 2265264024 2326487376 3020352032 3397896036 3489731064 3586668038 4530528048 4652974752 5380002057 6795792072 6979462128 7173336076 9061056096 10760004114 13591584144 13958924256 14346672152 16140006171 21520008228 27183168288 28693344304 32280012342 43040016456 57386688608 64560024684 86080032912 129120049368 172160065824 258240098736 516480197472