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532078705152 = 2932354132609
BaseRepresentation
bin1111011111000100101…
…11001011101000000000
31212212101110221210000100
413233202113023220000
532204144122031102
61044233353122400
753304256241151
oct7574227135000
91785343853010
10532078705152
11195720615475
12871540b9400
133b237086107
141ba77773928
15dc91eb9a1c
hex7be25cba00

532078705152 has 120 divisors (see below), whose sum is σ = 1536095941380. Its totient is φ = 177304043520.

The previous prime is 532078705139. The next prime is 532078705159. The reversal of 532078705152 is 251507870235.

532078705152 is a `hidden beast` number, since 53 + 2 + 0 + 7 + 87 + 0 + 515 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 531126118656 + 952586496 = 728784^2 + 30864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 532078705098 and 532078705107.

It is not an unprimeable number, because it can be changed into a prime (532078705159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16300624 + ... + 16333232.

Almost surely, 2532078705152 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 532078705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768047970690).

532078705152 is an abundant number, since it is smaller than the sum of its proper divisors (1004017236228).

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

532078705152 is a wasteful number, since it uses less digits than its factorization.

532078705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36174 (or 36155 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 532078705152 in words is "five hundred thirty-two billion, seventy-eight million, seven hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 3541 4608 7082 10623 14164 21246 28328 31869 32609 42492 56656 63738 65218 84984 97827 113312 127476 130436 169968 195654 226624 254952 260872 293481 339936 391308 453248 509904 521744 586962 679872 782616 906496 1019808 1043488 1173924 1359744 1565232 1812992 2039616 2086976 2347848 2719488 3130464 4079232 4173952 4695696 5438976 6260928 8158464 8347904 9391392 12521856 16316928 16695808 18782784 25043712 37565568 50087424 75131136 115468469 150262272 230936938 346405407 461873876 692810814 923747752 1039216221 1385621628 1847495504 2078432442 2771243256 3694991008 4156864884 5542486512 7389982016 8313729768 11084973024 14779964032 16627459536 22169946048 29559928064 33254919072 44339892096 59119856128 66509838144 88679784192 133019676288 177359568384 266039352576 532078705152