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198830051328 = 212347344273
BaseRepresentation
bin1011100100101100110…
…0011101000000000000
3201000012210211010122010
42321023030131000000
511224200443120303
6231201414012520
720236123356636
oct2711314350000
9630183733563
10198830051328
1177361420477
123264b947140
1315998b1a15c
1498a2975356
15528a8c2c03
hex2e4b31d000

198830051328 has 104 divisors (see below), whose sum is σ = 541430080128. Its totient is φ = 64866353152.

The previous prime is 198830051311. The next prime is 198830051363. The reversal of 198830051328 is 823150038891.

It is a super-2 number, since 2×1988300513282 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 405400 + ... + 749672.

Almost surely, 2198830051328 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 198830051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270715040064).

198830051328 is an abundant number, since it is smaller than the sum of its proper divisors (342600028800).

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

198830051328 is an equidigital number, since it uses as much as digits as its factorization.

198830051328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344347 (or 344325 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 198830051328 in words is "one hundred ninety-eight billion, eight hundred thirty million, fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1024 1128 1504 1536 2048 2256 3008 3072 4096 4512 6016 6144 9024 12032 12288 18048 24064 36096 48128 72192 96256 144384 192512 288768 344273 577536 688546 1032819 1377092 2065638 2754184 4131276 5508368 8262552 11016736 16180831 16525104 22033472 32361662 33050208 44066944 48542493 64723324 66100416 88133888 97084986 129446648 132200832 176267776 194169972 258893296 264401664 352535552 388339944 517786592 528803328 705071104 776679888 1035573184 1057606656 1410142208 1553359776 2071146368 2115213312 3106719552 4142292736 4230426624 6213439104 8284585472 12426878208 16569170944 24853756416 33138341888 49707512832 66276683776 99415025664 198830051328