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197963317104 = 2437318166431
BaseRepresentation
bin1011100001011110001…
…0000111111101110000
3200220222101220110210120
42320113202013331300
511220412102121404
6230535412530240
720205500301000
oct2702742077560
9626871813716
10197963317104
1176a5714a1a3
1232449620980
131588b3a0077
14981d7d8000
1552397679d9
hex2e17887f70

197963317104 has 160 divisors (see below), whose sum is σ = 599694950400. Its totient is φ = 56247609600.

The previous prime is 197963317099. The next prime is 197963317127. The reversal of 197963317104 is 401713369791.

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, 2946769 + ... + 3013199.

It is an arithmetic number, because the mean of its divisors is an integer number (3748093440).

Almost surely, 2197963317104 is an apocalyptic number.

197963317104 is a gapful number since it is divisible by the number (14) 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 197963317104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299847475200).

197963317104 is an abundant number, since it is smaller than the sum of its proper divisors (401731633296).

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

197963317104 is a wasteful number, since it uses less digits than its factorization.

197963317104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66644 (or 66624 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The spelling of 197963317104 in words is "one hundred ninety-seven billion, nine hundred sixty-three million, three hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 181 196 294 336 343 362 392 543 588 686 724 784 1029 1086 1176 1267 1372 1448 2058 2172 2352 2534 2744 2896 3801 4116 4344 5068 5488 7602 8232 8688 8869 10136 15204 16464 17738 20272 26607 30408 35476 53214 60816 62083 66431 70952 106428 124166 132862 141904 186249 199293 212856 248332 265724 372498 398586 425712 465017 496664 531448 744996 797172 930034 993328 1062896 1395051 1489992 1594344 1860068 2790102 2979984 3188688 3255119 3720136 5580204 6510238 7440272 9765357 11160408 12024011 13020476 19530714 22320816 22785833 24048022 26040952 36072033 39061428 45571666 48096044 52081904 68357499 72144066 78122856 84168077 91143332 96192088 136714998 144288132 156245712 168336154 182286664 192384176 252504231 273429996 288576264 336672308 364573328 505008462 546859992 577152528 589176539 673344616 1010016924 1093719984 1178353078 1346689232 1767529617 2020033848 2356706156 3535059234 4040067696 4124235773 4713412312 7070118468 8248471546 9426824624 12372707319 14140236936 16496943092 24745414638 28280473872 32993886184 49490829276 65987772368 98981658552 197963317104