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81433674608 = 2411131372391087
BaseRepresentation
bin100101111010111010…
…0110100001101110000
321210012020211021211112
41023311310310031300
52313234010041413
6101224330132452
75612000545646
oct1136564641560
9253166737745
1081433674608
1131599206030
1213947b81128
1378aa173ca0
143d27335196
1521b92b62a8
hex12f5d34370

81433674608 has 160 divisors (see below), whose sum is σ = 187667988480. Its totient is φ = 33745582080.

The previous prime is 81433674577. The next prime is 81433674613. The reversal of 81433674608 is 80647633418.

It is a congruent number.

It is an unprimeable number.

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, 74915441 + ... + 74916527.

It is an arithmetic number, because the mean of its divisors is an integer number (1172924928).

Almost surely, 281433674608 is an apocalyptic number.

81433674608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81433674608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93833994240).

81433674608 is an abundant number, since it is smaller than the sum of its proper divisors (106234313872).

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

81433674608 is a wasteful number, since it uses less digits than its factorization.

81433674608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 81433674608 in words is "eighty-one billion, four hundred thirty-three million, six hundred seventy-four thousand, six hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 137 143 176 208 239 274 286 478 548 572 956 1087 1096 1144 1507 1781 1912 2174 2192 2288 2629 3014 3107 3562 3824 4348 5258 6028 6214 7124 8696 10516 11957 12056 12428 14131 14248 17392 19591 21032 23914 24112 24856 28262 28496 32743 34177 39182 42064 47828 49712 56524 65486 68354 78364 95656 113048 130972 136708 148919 155441 156728 191312 226096 259793 261944 273416 297838 310882 313456 360173 425659 519586 523888 546832 595676 621764 720346 851318 1039172 1191352 1243528 1440692 1638109 1702636 1935947 2078344 2382704 2487056 2857723 2881384 3276218 3377309 3405272 3871894 4156688 4682249 5715446 5762768 6552436 6754618 6810544 7743788 9364498 11430892 13104872 13509236 15487576 18728996 21295417 22861784 26209744 27018472 30975152 35591641 37150399 37457992 42590834 45723568 54036944 71183282 74300798 74915984 85181668 142366564 148601596 170363336 284733128 297203192 340726672 391508051 462691333 569466256 594406384 783016102 925382666 1566032204 1850765332 3132064408 3701530664 5089604663 6264128816 7403061328 10179209326 20358418652 40716837304 81433674608