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506531346948 = 2232113734570799
BaseRepresentation
bin1110101111011111001…
…11101111101000000100
31210102110001002111220100
413113233213233220010
531244334011100243
61024410340404100
751411214260234
oct7275747575004
91712401074810
10506531346948
111859008160a0
12822043a6630
13389c5325a03
141a732827cc4
15d2992270d3
hex75ef9efa04

506531346948 has 72 divisors (see below), whose sum is σ = 1434549916800. Its totient is φ = 149345847360.

The previous prime is 506531346913. The next prime is 506531346967. The reversal of 506531346948 is 849643135605.

506531346948 is a `hidden beast` number, since 5 + 0 + 6 + 531 + 3 + 4 + 69 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506531346894 and 506531346903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17270748 + ... + 17300051.

It is an arithmetic number, because the mean of its divisors is an integer number (19924304400).

Almost surely, 2506531346948 is an apocalyptic number.

It is an amenable number.

506531346948 is an abundant number, since it is smaller than the sum of its proper divisors (928018569852).

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

506531346948 is a wasteful number, since it uses less digits than its factorization.

506531346948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34570857 (or 34570852 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 506531346948 in words is "five hundred six billion, five hundred thirty-one million, three hundred forty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 34570799 69141598 103712397 138283196 207424794 311137191 380278789 414849588 622274382 760557578 1140836367 1244548764 1279119563 1521115156 2281672734 2558239126 3422509101 3837358689 4563345468 5116478252 6845018202 7674717378 11512076067 13690036404 14070315193 15349434756 23024152134 28140630386 42210945579 46048304268 56281260772 84421891158 126632836737 168843782316 253265673474 506531346948