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197195455314 = 234111316075297
BaseRepresentation
bin1011011110100111000…
…0111101101101010010
3200211222220001001110000
42313221300331231102
511212324014032224
6230331302550430
720150454466614
oct2675160755522
9624886031400
10197195455314
11766a276a280
1232274438416
1315798290490
149789836db4
1551e213d0c9
hex2de9c3db52

197195455314 has 160 divisors (see below), whose sum is σ = 519533917056. Its totient is φ = 55114836480.

The previous prime is 197195455313. The next prime is 197195455321. The reversal of 197195455314 is 413554591791.

197195455314 is a `hidden beast` number, since 1 + 9 + 71 + 9 + 5 + 4 + 553 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (197195455313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37225114 + ... + 37230410.

Almost surely, 2197195455314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197195455314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259766958528).

197195455314 is an abundant number, since it is smaller than the sum of its proper divisors (322338461742).

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

197195455314 is a wasteful number, since it uses less digits than its factorization.

197195455314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942 (or 6933 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The spelling of 197195455314 in words is "one hundred ninety-seven billion, one hundred ninety-five million, four hundred fifty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1287 1607 1782 2106 2574 3214 3861 4821 5297 7722 9642 10594 11583 14463 15891 17677 20891 23166 28926 31782 35354 41782 43389 47673 53031 58267 62673 68861 86778 95346 106062 116534 125346 130167 137722 143019 159093 174801 188019 206583 229801 260334 286038 318186 349602 376038 413166 429057 459602 477279 524403 564057 619749 689403 757471 858114 954558 1048806 1128114 1239498 1378806 1431837 1514942 1573209 1692171 1859247 2068209 2272413 2863674 3146418 3384342 3718494 4136418 4544826 4719627 5577741 6204627 6817239 8512279 9439254 11155482 12409254 13634478 17024558 18613881 20451717 25536837 37227762 40903434 51073674 61355151 76610511 93635069 110659627 122710302 153221022 187270138 221319254 229831533 280905207 331978881 459663066 561810414 663957762 689494599 842715621 995936643 1217255897 1378989198 1685431242 1991873286 2434511794 2528146863 2987809929 3651767691 5056293726 5975619858 7303535382 7584440589 8963429787 10955303073 15168881178 17926859574 21910606146 32865909219 65731818438 98597727657 197195455314