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536016052701 = 324110331406213
BaseRepresentation
bin1111100110011010000…
…10111110000111011101
31220020112212202202110100
413303031002332013131
532240230102141301
61050124204131313
753503656162423
oct7631502760735
91806485682410
10536016052701
111973610a6a08
1287a72836b39
133b713a0c46c
141bd2c659113
15de229b6286
hex7ccd0be1dd

536016052701 has 24 divisors (see below), whose sum is σ = 793897800696. Its totient is φ = 348290588160.

The previous prime is 536016052681. The next prime is 536016052721. The reversal of 536016052701 is 107250610635.

536016052701 is a `hidden beast` number, since 536 + 0 + 1 + 6 + 0 + 52 + 70 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (536016052681) and next prime (536016052721).

It can be written as a sum of positive squares in 4 ways, for example, as 240172525476 + 295843527225 = 490074^2 + 543915^2 .

It is not a de Polignac number, because 536016052701 - 29 = 536016052189 is a prime.

It is a super-2 number, since 2×5360160527012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536016052721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321930 + ... + 1084283.

It is an arithmetic number, because the mean of its divisors is an integer number (33079075029).

Almost surely, 2536016052701 is an apocalyptic number.

It is an amenable number.

536016052701 is a deficient number, since it is larger than the sum of its proper divisors (257881747995).

536016052701 is a wasteful number, since it uses less digits than its factorization.

536016052701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407293 (or 1407290 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 536016052701 in words is "five hundred thirty-six billion, sixteen million, fifty-two thousand, seven hundred one".

Divisors: 1 3 9 41 123 369 1033 3099 9297 42353 127059 381177 1406213 4218639 12655917 57654733 172964199 518892597 1452618029 4357854087 13073562261 59557339189 178672017567 536016052701