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99538059376 = 24723531794073
BaseRepresentation
bin101110010110011101…
…1100100000001110000
3100111220222102022211201
41130230323210001300
53112323220400001
6113421022020544
710122434354560
oct1345473440160
9314828368751
1099538059376
1139239704298
121735b117754
139503bc1ab2
144b63974da0
1528c88dd501
hex172cee4070

99538059376 has 160 divisors (see below), whose sum is σ = 235694914560. Its totient is φ = 39801096192.

The previous prime is 99538059367. The next prime is 99538059391. The reversal of 99538059376 is 67395083599.

It is a congruent number.

It is an unprimeable number.

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, 24436476 + ... + 24440548.

It is an arithmetic number, because the mean of its divisors is an integer number (1473093216).

Almost surely, 299538059376 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 99538059376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117847457280).

99538059376 is an abundant number, since it is smaller than the sum of its proper divisors (136156855184).

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

99538059376 is a wasteful number, since it uses less digits than its factorization.

99538059376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 64.

The spelling of 99538059376 in words is "ninety-nine billion, five hundred thirty-eight million, fifty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 53 56 92 106 112 161 179 184 212 322 358 368 371 424 644 716 742 848 1219 1253 1288 1432 1484 2438 2506 2576 2864 2968 4073 4117 4876 5012 5936 8146 8234 8533 9487 9752 10024 16292 16468 17066 18974 19504 20048 28511 28819 32584 32936 34132 37948 57022 57638 65168 65872 66409 68264 75896 93679 114044 115276 132818 136528 151792 187358 215869 218201 228088 230552 265636 374716 431738 436402 456176 461104 531272 655753 729067 749432 863476 872804 1062544 1311506 1458134 1498864 1511083 1527407 1726952 1745608 2623012 2916268 3022166 3054814 3453904 3491216 4964987 5103469 5246024 5832536 6044332 6109628 9929974 10206938 10492048 11665072 12088664 12219256 16768541 19859948 20413876 24177328 24438512 33537082 34754909 38640551 39719896 40827752 67074164 69509818 77281102 79439792 81655504 117379787 134148328 139019636 154562204 234759574 268296656 270483857 278039272 309124408 469519148 540967714 556078544 618248816 888732673 939038296 1081935428 1777465346 1878076592 2163870856 3554930692 4327741712 6221128711 7109861384 12442257422 14219722768 24884514844 49769029688 99538059376