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10043525550432 = 2531122682132237
BaseRepresentation
bin1001001000100111000011…
…0001011101000101100000
31022120011002120020022022210
42102021300301131011200
52304023120020103212
633205533144402120
72054422632411633
oct222116061350540
938504076208283
1010043525550432
113222487380300
121162604476340
1357b13c751caa
1426a175a29c1a
151263c61d253c
hex92270c5d160

10043525550432 has 144 divisors (see below), whose sum is σ = 28980870808176. Its totient is φ = 3043284710400.

The previous prime is 10043525550407. The next prime is 10043525550437. The reversal of 10043525550432 is 23405552534001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10043525550437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311536618 + ... + 311568854.

It is an arithmetic number, because the mean of its divisors is an integer number (201256047279).

Almost surely, 210043525550432 is an apocalyptic number.

10043525550432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10043525550432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14490435404088).

10043525550432 is an abundant number, since it is smaller than the sum of its proper divisors (18937345257744).

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

10043525550432 is a wasteful number, since it uses less digits than its factorization.

10043525550432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59093 (or 59074 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 10043525550432 in words is "ten trillion, forty-three billion, five hundred twenty-five million, five hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 26821 32237 53642 64474 80463 96711 107284 128948 160926 193422 214568 257896 295031 321852 354607 386844 429136 515792 590062 643704 709214 773688 858272 885093 1031584 1063821 1180124 1287408 1418428 1547376 1770186 2127642 2360248 2574816 2836856 3094752 3245341 3540372 3900677 4255284 4720496 5673712 6490682 7080744 7801354 8510568 9440992 9736023 11347424 11702031 12981364 14161488 15602708 17021136 19472046 23404062 25962728 28322976 31205416 34042272 38944092 46808124 51925456 62410832 77888184 93616248 103850912 124821664 155776368 187232496 311552736 374464992 864628577 1729257154 2593885731 3458514308 5187771462 6917028616 9510914347 10375542924 13834057232 19021828694 20751085848 27668114464 28532743041 38043657388 41502171696 57065486082 76087314776 83004343392 104620057817 114130972164 152174629552 209240115634 228261944328 304349259104 313860173451 418480231268 456523888656 627720346902 836960462536 913047777312 1255440693804 1673920925072 2510881387608 3347841850144 5021762775216 10043525550432