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197601975012 = 223131925236709
BaseRepresentation
bin1011100000000111111…
…1101101101011100100
3200220001012222101122010
42320001333231223210
511214142101200022
6230435504034220
720163522034341
oct2700177555344
9626035871563
10197601975012
1176891188572
1232368602970
1315831575490
1497c78177c8
155217b8d50c
hex2e01fedae4

197601975012 has 144 divisors (see below), whose sum is σ = 525127606080. Its totient is φ = 57481871616.

The previous prime is 197601974989. The next prime is 197601975019. The reversal of 197601975012 is 210579106791.

It is not an unprimeable number, because it can be changed into a prime (197601975019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29449914 + ... + 29456622.

Almost surely, 2197601975012 is an apocalyptic number.

197601975012 is a gapful number since it is divisible by the number (12) 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 197601975012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262563803040).

197601975012 is an abundant number, since it is smaller than the sum of its proper divisors (327525631068).

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

197601975012 is a wasteful number, since it uses less digits than its factorization.

197601975012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 7269 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 48.

The spelling of 197601975012 in words is "one hundred ninety-seven billion, six hundred one million, nine hundred seventy-five thousand, twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 523 722 741 988 1046 1083 1444 1482 1569 2092 2166 2964 3138 4332 4693 6276 6709 6799 9386 9937 13418 13598 14079 18772 19874 20127 20397 26836 27196 28158 29811 39748 40254 40794 56316 59622 80508 81588 87217 119244 127471 129181 174434 188803 254942 258362 261651 348868 377606 382413 387543 509884 516724 523302 566409 755212 764826 775086 1046604 1132818 1529652 1550172 1657123 2265636 2421949 2454439 3314246 3508807 4843898 4908878 4971369 6628492 7017614 7265847 7363317 9687796 9817756 9942738 10526421 14035228 14531694 14726634 19885476 21052842 29063388 29453268 31485337 42105684 45614491 62970674 66667333 91228982 94456011 125941348 133334666 136843473 182457964 188912022 200001999 266669332 273686946 377824044 400003998 547373892 800007996 866675329 1266679327 1733350658 2533358654 2600025987 3466701316 3800037981 5066717308 5200051974 7600075962 10400103948 15200151924 16466831251 32933662502 49400493753 65867325004 98800987506 197601975012