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5436074916432 = 2433194791382651
BaseRepresentation
bin100111100011010111101…
…0100000111101001010000
3201020200110102000010111000
41033012233110013221100
51203031040134311212
615321144235222000
71100513001251466
oct117065724075120
921220412003430
105436074916432
111806476632586
1273966a5a7900
133058095339b4
1414b170b04836
15966112291dc
hex4f1af507a50

5436074916432 has 160 divisors (see below), whose sum is σ = 16459089408000. Its totient is φ = 1713070166400.

The previous prime is 5436074916407. The next prime is 5436074916443. The reversal of 5436074916432 is 2346194706345.

5436074916432 is a `hidden beast` number, since 5 + 4 + 3 + 60 + 7 + 491 + 64 + 32 = 666.

It is a super-2 number, since 2×54360749164322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3240307 + ... + 4622957.

It is an arithmetic number, because the mean of its divisors is an integer number (102869308800).

Almost surely, 25436074916432 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 5436074916432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229544704000).

5436074916432 is an abundant number, since it is smaller than the sum of its proper divisors (11023014491568).

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

5436074916432 is a wasteful number, since it uses less digits than its factorization.

5436074916432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383166 (or 1383154 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 5436074916432 in words is "five trillion, four hundred thirty-six billion, seventy-four million, nine hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 479 513 684 912 958 1026 1368 1437 1916 2052 2736 2874 3832 4104 4311 5748 7664 8208 8622 9101 11496 12933 17244 18202 22992 25866 27303 34488 36404 51732 54606 68976 72808 81909 103464 109212 145616 163818 206928 218424 245727 327636 436848 491454 655272 982908 1310544 1382651 1965816 2765302 3931632 4147953 5530604 8295906 11061208 12443859 16591812 22122416 24887718 26270369 33183624 37331577 49775436 52540738 66367248 74663154 78811107 99550872 105081476 149326308 157622214 199101744 210162952 236433321 298652616 315244428 420325904 472866642 597305232 630488856 662289829 709299963 945733284 1260977712 1324579658 1418599926 1891466568 1986869487 2649159316 2837199852 3782933136 3973738974 5298318632 5674399704 5960608461 7947477948 10596637264 11348799408 11921216922 12583506751 15894955896 17881825383 23842433844 25167013502 31789911792 35763650766 37750520253 47684867688 50334027004 71527301532 75501040506 95369735376 100668054008 113251560759 143054603064 151002081012 201336108016 226503121518 286109206128 302004162024 339754682277 453006243036 604008324048 679509364554 906012486072 1359018729108 1812024972144 2718037458216 5436074916432