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534005588208 = 243175313818941
BaseRepresentation
bin1111100010101010011…
…01101010000011110000
31220001100202201120122110
413301111031222003300
532222120412310313
61045152505005320
753403104415051
oct7612515520360
91801322646573
10534005588208
1119651a262204
12875b1483840
133b48333ccc1
141bbbb638728
15dd56237ec3
hex7c5536a0f0

534005588208 has 160 divisors (see below), whose sum is σ = 1489466221632. Its totient is φ = 164232806400.

The previous prime is 534005588201. The next prime is 534005588243. The reversal of 534005588208 is 802885500435.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534005588201) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 59721018 + ... + 59729958.

Almost surely, 2534005588208 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 534005588208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744733110816).

534005588208 is an abundant number, since it is smaller than the sum of its proper divisors (955460633424).

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

534005588208 is a wasteful number, since it uses less digits than its factorization.

534005588208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 48.

The spelling of 534005588208 in words is "five hundred thirty-four billion, five million, five hundred eighty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 136 159 204 212 272 318 408 424 636 816 848 901 1272 1381 1802 2544 2703 2762 3604 4143 5406 5524 7208 8286 8941 10812 11048 14416 16572 17882 21624 22096 23477 26823 33144 35764 43248 46954 53646 66288 70431 71528 73193 93908 107292 140862 143056 146386 151997 187816 214584 219579 281724 292772 303994 375632 429168 439158 455991 473873 563448 585544 607988 878316 911982 947746 1126896 1171088 1215976 1244281 1421619 1756632 1823964 1895492 2431952 2488562 2843238 3513264 3647928 3732843 3790984 4977124 5686476 7295856 7465686 7581968 8055841 9954248 11372952 12347521 14931372 16111682 19908496 22745904 24167523 24695042 29862744 32223364 37042563 48335046 49390084 59725488 64446728 74085126 96670092 98780168 128893456 148170252 193340184 197560336 209907857 296340504 386680368 419815714 592681008 629723571 654418613 839631428 1259447142 1308837226 1679262856 1963255839 2518894284 2617674452 3358525712 3926511678 5037788568 5235348904 7853023356 10075577136 10470697808 11125116421 15706046712 22250232842 31412093424 33375349263 44500465684 66750698526 89000931368 133501397052 178001862736 267002794104 534005588208