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505252264512 = 26319991139759
BaseRepresentation
bin1110101101000110110…
…00011011101001000000
31210022010220021101122210
413112203120123221000
531234224034431022
61024035405302120
751334423250022
oct7264330335100
91708126241583
10505252264512
11185304805576
1281b07b64940
13388503329b8
141a6509d0012
15d221cb9a0c
hex75a361ba40

505252264512 has 112 divisors (see below), whose sum is σ = 1408601907200. Its totient is φ = 159391203840.

The previous prime is 505252264511. The next prime is 505252264547. The reversal of 505252264512 is 215462252505.

It is not an unprimeable number, because it can be changed into a prime (505252264511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3545289 + ... + 3685047.

Almost surely, 2505252264512 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 505252264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704300953600).

505252264512 is an abundant number, since it is smaller than the sum of its proper divisors (903349642688).

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

505252264512 is a wasteful number, since it uses less digits than its factorization.

505252264512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140784 (or 140774 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 505252264512 in words is "five hundred five billion, two hundred fifty-two million, two hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 991 1216 1824 1982 2973 3648 3964 5946 7928 11892 15856 18829 23784 31712 37658 47568 56487 63424 75316 95136 112974 139759 150632 190272 225948 279518 301264 419277 451896 559036 602528 838554 903792 1118072 1205056 1677108 1807584 2236144 2655421 3354216 3615168 4472288 5310842 6708432 7966263 8944576 10621684 13416864 15932526 21243368 26833728 31865052 42486736 63730104 84973472 127460208 138501169 169946944 254920416 277002338 415503507 509840832 554004676 831007014 1108009352 1662014028 2216018704 2631522211 3324028056 4432037408 5263044422 6648056112 7894566633 8864074816 10526088844 13296112224 15789133266 21052177688 26592224448 31578266532 42104355376 63156533064 84208710752 126313066128 168417421504 252626132256 505252264512