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536748221064 = 2331131138147491
BaseRepresentation
bin1111100111110001010…
…11111110001010001000
31220022102220110202122010
413303320223332022020
532243230021033224
61050325001055520
753531056413156
oct7637053761210
91808386422563
10536748221064
111976a7417930
1288037a875a0
133b7cc602793
141bd9b9a83d6
15de66ddee29
hex7cf8afe288

536748221064 has 128 divisors (see below), whose sum is σ = 1512206069760. Its totient is φ = 157286880000.

The previous prime is 536748221059. The next prime is 536748221081. The reversal of 536748221064 is 460122847635.

It is a super-2 number, since 2×5367482210642 (a number of 24 digits) contains 22 as substring.

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, 11278359 + ... + 11325849.

It is an arithmetic number, because the mean of its divisors is an integer number (11814109920).

Almost surely, 2536748221064 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 536748221064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756103034880).

536748221064 is an abundant number, since it is smaller than the sum of its proper divisors (975457848696).

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

536748221064 is a wasteful number, since it uses less digits than its factorization.

536748221064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48923 (or 48919 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 536748221064 in words is "five hundred thirty-six billion, seven hundred forty-eight million, two hundred twenty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 1381 2046 2728 2762 4092 4143 5524 8184 8286 11048 15191 16572 30382 33144 42811 45573 47491 60764 85622 91146 94982 121528 128433 142473 171244 182292 189964 256866 284946 342488 364584 379928 470921 513732 522401 569892 941842 1027464 1044802 1139784 1412763 1472221 1567203 1883684 2089604 2825526 2944442 3134406 3767368 4179208 4416663 5651052 5888884 6268812 8833326 11302104 11777768 12537624 16194431 17666652 32388862 35333304 48583293 64777724 65585071 97166586 129555448 131170142 194333172 196755213 262340284 388666344 393510426 524680568 721435781 787020852 1442871562 1574041704 2033137201 2164307343 2885743124 4066274402 4328614686 5771486248 6099411603 8132548804 8657229372 12198823206 16265097608 17314458744 22364509211 24397646412 44729018422 48795292824 67093527633 89458036844 134187055266 178916073688 268374110532 536748221064