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99814882384 = 2473291036089
BaseRepresentation
bin101110011110101101…
…1100011110001010000
3100112122021022101121201
41130331123203301100
53113410102214014
6113504311200544
710132335334000
oct1347533436120
9315567271551
1099814882384
1139370998538
1217417976154
1395493663a9
144b8c634000
1528e2d6ee74
hex173d6e3c50

99814882384 has 160 divisors (see below), whose sum is σ = 235609920000. Its totient is φ = 40894995456.

The previous prime is 99814882379. The next prime is 99814882393. The reversal of 99814882384 is 48328841899.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16389612 + ... + 16395700.

It is an arithmetic number, because the mean of its divisors is an integer number (1472562000).

Almost surely, 299814882384 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 99814882384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117804960000).

99814882384 is an abundant number, since it is smaller than the sum of its proper divisors (135795037616).

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

99814882384 is a wasteful number, since it uses less digits than its factorization.

99814882384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250 (or 6230 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 64.

The spelling of 99814882384 in words is "ninety-nine billion, eight hundred fourteen million, eight hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 103 112 116 196 203 206 232 343 392 406 412 464 686 721 784 812 824 1372 1421 1442 1624 1648 2744 2842 2884 2987 3248 5047 5488 5684 5768 5974 6089 9947 10094 11368 11536 11948 12178 19894 20188 20909 22736 23896 24356 35329 39788 40376 41818 42623 47792 48712 70658 79576 80752 83636 85246 97424 141316 146363 159152 167272 170492 176581 282632 292726 298361 334544 340984 353162 565264 585452 596722 627167 681968 706324 1024541 1170904 1193444 1236067 1254334 1412648 2049082 2088527 2341808 2386888 2472134 2508668 2825296 4098164 4177054 4390169 4773776 4944268 5017336 8196328 8354108 8652469 8780338 9888536 10034672 16392656 16708216 17304938 17560676 18187843 19777072 30731183 33416432 34609876 35121352 36375686 60567283 61462366 69219752 70242704 72751372 121134566 122924732 127314901 138439504 145502744 215118281 242269132 245849464 254629802 291005488 430236562 484538264 491698928 509259604 860473124 891204307 969076528 1018519208 1720946248 1782408614 2037038416 3441892496 3564817228 6238430149 7129634456 12476860298 14259268912 24953720596 49907441192 99814882384