Search a number
-
+
197740216571976 = 233313158174452191
BaseRepresentation
bin101100111101011111111011…
…010111011101100001001000
3221221010210001200102201021000
4230331133323113131201020
5201404233430420300401
61540320333524015000
756436154622153061
oct5475377327354110
9857123050381230
10197740216571976
11580081781a6011
121a217466531460
138644a8cab8780
1436b896b297568
1517cda24419186
hexb3d7fb5dd848

197740216571976 has 128 divisors (see below), whose sum is σ = 591568093670400. Its totient is φ = 60839283202560.

The previous prime is 197740216571897. The next prime is 197740216571981. The reversal of 197740216571976 is 679175612047791.

It is a happy number.

197740216571976 is a `hidden beast` number, since 1 + 9 + 7 + 7 + 40 + 2 + 1 + 6 + 571 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42188041 + ... + 46640231.

It is an arithmetic number, because the mean of its divisors is an integer number (4621625731800).

Almost surely, 2197740216571976 is an apocalyptic number.

It is an amenable number.

197740216571976 is an abundant number, since it is smaller than the sum of its proper divisors (393827877098424).

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

197740216571976 is a wasteful number, since it uses less digits than its factorization.

197740216571976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468036 (or 4468026 counting only the distinct ones).

The product of its (nonzero) digits is 280052640, while the sum is 72.

The spelling of 197740216571976 in words is "one hundred ninety-seven trillion, seven hundred forty billion, two hundred sixteen million, five hundred seventy-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 15817 31634 47451 63268 94902 126536 142353 189804 205621 284706 379608 411242 427059 569412 616863 822484 854118 1138824 1233726 1644968 1708236 1850589 2467452 3416472 3701178 4452191 4934904 5551767 7402356 8904382 11103534 13356573 14804712 17808764 22207068 26713146 35617528 40069719 44414136 53426292 57878483 80139438 106852584 115756966 120209157 160278876 173635449 231513932 240418314 320557752 347270898 463027864 480836628 520906347 694541796 961673256 1041812694 1389083592 1562719041 2083625388 3125438082 4167250776 6250876164 12501752328 70420305047 140840610094 211260915141 281681220188 422521830282 563362440376 633782745423 845043660564 915463965611 1267565490846 1690087321128 1830927931222 1901348236269 2535130981692 2746391896833 3661855862444 3802696472538 5070261963384 5492783793666 7323711724888 7605392945076 8239175690499 10985567587332 15210785890152 16478351380998 21971135174664 24717527071497 32956702761996 49435054142994 65913405523992 98870108285988 197740216571976