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5642016534 = 2327116760757
BaseRepresentation
bin1010100000100101…
…00101011100010110
3112120012110010200100
411100102211130112
543023324012114
62331503554530
7256546230540
oct52022453426
915505403610
105642016534
112435853590
1211155bba46
136bbb78b2b
143b7464690
152304c3909
hex1504a5716

5642016534 has 96 divisors (see below), whose sum is σ = 15468500736. Its totient is φ = 1443562560.

The previous prime is 5642016517. The next prime is 5642016551. The reversal of 5642016534 is 4356102465.

5642016534 is a `hidden beast` number, since 5 + 642 + 0 + 1 + 6 + 5 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5642016517) and next prime (5642016551).

It is a Curzon number.

It is a congruent number.

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, 62484 + ... + 123240.

It is an arithmetic number, because the mean of its divisors is an integer number (161130216).

Almost surely, 25642016534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5642016534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734250368).

5642016534 is an abundant number, since it is smaller than the sum of its proper divisors (9826484202).

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

5642016534 is a wasteful number, since it uses less digits than its factorization.

5642016534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60850 (or 60847 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5642016534 is about 75113.3578932536. The cubic root of 5642016534 is about 1780.2382097141.

Adding to 5642016534 its reverse (4356102465), we get a palindrome (9998118999).

The spelling of 5642016534 in words is "five billion, six hundred forty-two million, sixteen thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 67 77 99 126 134 154 198 201 231 402 462 469 603 693 737 938 1206 1386 1407 1474 2211 2814 4221 4422 5159 6633 8442 10318 13266 15477 30954 46431 60757 92862 121514 182271 364542 425299 546813 668327 850598 1093626 1275897 1336654 2004981 2551794 3827691 4009962 4070719 4678289 6014943 7655382 8141438 9356578 12029886 12212157 14034867 24424314 28069734 28495033 36636471 42104601 44777909 56990066 73272942 84209202 85485099 89555818 134333727 170970198 256455297 268667454 313445363 403001181 512910594 626890726 806002362 940336089 1880672178 2821008267 5642016534