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81952700184 = 2333478990703
BaseRepresentation
bin100110001010011000…
…0101111011100011000
321211112102110112002000
41030110300233130120
52320314342401214
6101352030441000
75630602313025
oct1142460573430
9254472415060
1081952700184
1131835187693
1213a71963160
13796085ab04
143d7624054c
1521e9b3b809
hex1314c2f718

81952700184 has 128 divisors (see below), whose sum is σ = 235104768000. Its totient is φ = 26435642112.

The previous prime is 81952700147. The next prime is 81952700189. The reversal of 81952700184 is 48100725918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81952700189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858177 + ... + 948879.

It is an arithmetic number, because the mean of its divisors is an integer number (1836756000).

Almost surely, 281952700184 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 81952700184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117552384000).

81952700184 is an abundant number, since it is smaller than the sum of its proper divisors (153152067816).

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

81952700184 is a wasteful number, since it uses less digits than its factorization.

81952700184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90854 (or 90844 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 81952700184 in words is "eighty-one billion, nine hundred fifty-two million, seven hundred thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 89 94 108 141 178 188 216 267 282 356 376 423 534 564 712 801 846 1068 1128 1269 1602 1692 2136 2403 2538 3204 3384 4183 4806 5076 6408 8366 9612 10152 12549 16732 19224 25098 33464 37647 50196 75294 90703 100392 112941 150588 181406 225882 272109 301176 362812 451764 544218 725624 816327 903528 1088436 1632654 2176872 2448981 3265308 4263041 4897962 6530616 8072567 8526082 9795924 12789123 16145134 17052164 19591848 24217701 25578246 32290268 34104328 38367369 48435402 51156492 64580536 72653103 76734738 96870804 102312984 115102107 145306206 153469476 193741608 217959309 230204214 290612412 306938952 379410649 435918618 460408428 581224824 758821298 871837236 920816856 1138231947 1517642596 1743674472 2276463894 3035285192 3414695841 4552927788 6829391682 9105855576 10244087523 13658783364 20488175046 27317566728 40976350092 81952700184