Search a number
-
+
81741854208 = 293753143443
BaseRepresentation
bin100110000100000110…
…0011011011000000000
321210222201201102202210
41030020030123120000
52314401403313313
6101315055342120
75622432203520
oct1141014333000
9253881642683
1081741854208
1131737166a13
1213a13221940
137928c76b91
143d56237680
1521d638d9c3
hex130831b600

81741854208 has 160 divisors (see below), whose sum is σ = 253572270336. Its totient is φ = 22913998848.

The previous prime is 81741854197. The next prime is 81741854213. The reversal of 81741854208 is 80245814718.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498135 + ... + 641577.

Almost surely, 281741854208 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 81741854208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126786135168).

81741854208 is an abundant number, since it is smaller than the sum of its proper divisors (171830416128).

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

81741854208 is a wasteful number, since it uses less digits than its factorization.

81741854208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143524 (or 143508 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 81741854208 in words is "eighty-one billion, seven hundred forty-one million, eight hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 256 318 336 371 384 424 448 512 636 672 742 768 848 896 1113 1272 1344 1484 1536 1696 1792 2226 2544 2688 2968 3392 3584 4452 5088 5376 5936 6784 8904 10176 10752 11872 13568 17808 20352 23744 27136 35616 40704 47488 71232 81408 94976 142464 143443 189952 284928 286886 430329 569856 573772 860658 1004101 1147544 1721316 2008202 2295088 3012303 3442632 4016404 4590176 6024606 6885264 7602479 8032808 9180352 12049212 13770528 15204958 16065616 18360704 22807437 24098424 27541056 30409916 32131232 36721408 45614874 48196848 53217353 55082112 60819832 64262464 73442816 91229748 96393696 106434706 110164224 121639664 128524928 159652059 182459496 192787392 212869412 220328448 243279328 257049856 319304118 364918992 385574784 425738824 486558656 514099712 638608236 729837984 771149568 851477648 973117312 1277216472 1459675968 1542299136 1702955296 1946234624 2554432944 2919351936 3405910592 3892469248 5108865888 5838703872 6811821184 10217731776 11677407744 13623642368 20435463552 27247284736 40870927104 81741854208