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536434225664 = 2916739715803
BaseRepresentation
bin1111100111001011111…
…10001011001000000000
31220021122000122010220212
413303211332023020000
532242104130210124
61050233503053252
753520224453531
oct7634576131000
91807560563825
10536434225664
111975561544a7
1287b6a8a1228
133b77c54469c
141bd6bdd0688
15de4956940e
hex7ce5f8b200

536434225664 has 80 divisors (see below), whose sum is σ = 1081023185088. Its totient is φ = 265922629632.

The previous prime is 536434225619. The next prime is 536434225673. The reversal of 536434225664 is 466522434635.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33937187 + ... + 33952989.

Almost surely, 2536434225664 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 536434225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540511592544).

536434225664 is an abundant number, since it is smaller than the sum of its proper divisors (544588959424).

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

536434225664 is a wasteful number, since it uses less digits than its factorization.

536434225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16385 (or 16369 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 50.

The spelling of 536434225664 in words is "five hundred thirty-six billion, four hundred thirty-four million, two hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 397 512 668 794 1336 1588 2672 3176 5344 6352 10688 12704 15803 21376 25408 31606 42752 50816 63212 66299 85504 101632 126424 132598 203264 252848 265196 505696 530392 1011392 1060784 2022784 2121568 2639101 4045568 4243136 5278202 6273791 8091136 8486272 10556404 12547582 16972544 21112808 25095164 33945088 42225616 50190328 84451232 100380656 168902464 200761312 337804928 401522624 675609856 803045248 1047723097 1351219712 1606090496 2095446194 3212180992 4190892388 8381784776 16763569552 33527139104 67054278208 134108556416 268217112832 536434225664