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535511045034 = 232747122373939
BaseRepresentation
bin1111100101011101111…
…00100001001110101010
31220012020200111201011200
413302232330201032222
532233211311420114
61050002124105030
753455314531030
oct7625674411652
91805220451150
10535511045034
1119712202a1a9
1287951695176
133b6631c2c64
141bcc155c550
15dde34ae409
hex7caef213aa

535511045034 has 96 divisors (see below), whose sum is σ = 1355366338560. Its totient is φ = 149623302816.

The previous prime is 535511045029. The next prime is 535511045117. The reversal of 535511045034 is 430540115535.

535511045034 is a `hidden beast` number, since 5 + 35 + 5 + 110 + 4 + 503 + 4 = 666.

It is a super-2 number, since 2×5355110450342 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 535511045034.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7205637 + ... + 7279575.

It is an arithmetic number, because the mean of its divisors is an integer number (14118399360).

Almost surely, 2535511045034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535511045034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677683169280).

535511045034 is an abundant number, since it is smaller than the sum of its proper divisors (819855293526).

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

535511045034 is a wasteful number, since it uses less digits than its factorization.

535511045034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75224 (or 75221 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 535511045034 in words is "five hundred thirty-five billion, five hundred eleven million, forty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1223 1974 2446 2961 3669 5922 7338 8561 11007 17122 22014 25683 51366 57481 73939 77049 114962 147878 154098 172443 221817 344886 402367 443634 517329 517573 665451 804734 1034658 1035146 1207101 1330902 1552719 2414202 3105438 3475133 3621303 4658157 6950266 7242606 9316314 10425399 20850798 24325931 31276197 48651862 62552394 72977793 90427397 145955586 180854794 218933379 271282191 437866758 542564382 632991779 813846573 1265983558 1627693146 1898975337 3797950674 4250087659 5696926011 8500175318 11393852022 12750262977 25500525954 29750613613 38250788931 59501227226 76501577862 89251840839 178503681678 267755522517 535511045034