Search a number
-
+
536561254032 = 243297912833803
BaseRepresentation
bin1111100111011011000…
…10101111111010010000
31220021221212122212002020
413303231202233322100
532242334140112112
61050254241451440
753523326256606
oct7635542577220
91807855585066
10536561254032
11197610926821
1287ba5340b80
133b79c95c6bb
141bd80c19876
15de557ac48c
hex7ced8afe90

536561254032 has 160 divisors (see below), whose sum is σ = 1453578393600. Its totient is φ = 170322786816.

The previous prime is 536561254027. The next prime is 536561254043. The reversal of 536561254032 is 230452165635.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 141087043 + ... + 141090845.

It is an arithmetic number, because the mean of its divisors is an integer number (9084864960).

Almost surely, 2536561254032 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 536561254032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726789196800).

536561254032 is an abundant number, since it is smaller than the sum of its proper divisors (917017139568).

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

536561254032 is a wasteful number, since it uses less digits than its factorization.

536561254032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 536561254032 in words is "five hundred thirty-six billion, five hundred sixty-one million, two hundred fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 79 87 116 158 174 232 237 316 348 464 474 632 696 948 1264 1283 1392 1896 2291 2566 3792 3803 3849 4582 5132 6873 7606 7698 9164 10264 11409 13746 15212 15396 18328 20528 22818 27492 30424 30792 36656 37207 45636 54984 60848 61584 74414 91272 101357 109968 110287 111621 148828 182544 202714 220574 223242 297656 300437 304071 330861 405428 441148 446484 595312 600874 608142 661722 810856 882296 892968 901311 1201748 1216284 1323444 1621712 1764592 1785936 1802622 2403496 2432568 2646888 2939353 3605244 4806992 4865136 4879249 5293776 5878706 7210488 8712673 8818059 9758498 11757412 14420976 14637747 17425346 17636118 19516996 23514824 26138019 29275494 34850692 35272236 39033992 47029648 52276038 58550988 69701384 70544472 78067984 104552076 117101976 139402768 141088944 141498221 209104152 234203952 282996442 385460671 418208304 424494663 565992884 770921342 848989326 1131985768 1156382013 1541842684 1697978652 2263971536 2312764026 3083685368 3395957304 4625528052 6167370736 6791914608 9251056104 11178359459 18502112208 22356718918 33535078377 44713437836 67070156754 89426875672 134140313508 178853751344 268280627016 536561254032