Search a number
-
+
197454332160 = 2832517140133
BaseRepresentation
bin1011011111100100110…
…0100000000100000000
3200212122221011100201100
42313321030200010000
511213341302112120
6230413111334400
720160050062611
oct2677114400400
9625587140640
10197454332160
1176815906288
1232327081400
1315809ac0447
1497b1d83c08
155209c27490
hex2df9320100

197454332160 has 108 divisors (see below), whose sum is σ = 683171460972. Its totient is φ = 52654485504.

The previous prime is 197454332147. The next prime is 197454332191. The reversal of 197454332160 is 61233454791.

197454332160 is a `hidden beast` number, since 1 + 9 + 7 + 454 + 3 + 32 + 160 = 666.

197454332160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 49518710784 + 147935621376 = 222528^2 + 384624^2 .

It is a super-2 number, since 2×1974543321602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8558547 + ... + 8581586.

Almost surely, 2197454332160 is an apocalyptic number.

197454332160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

197454332160 is an abundant number, since it is smaller than the sum of its proper divisors (485717128812).

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

197454332160 is a wasteful number, since it uses less digits than its factorization.

197454332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17140160 (or 17140143 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 197454332160 in words is "one hundred ninety-seven billion, four hundred fifty-four million, three hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 17140133 34280266 51420399 68560532 85700665 102840798 137121064 154261197 171401330 205681596 257101995 274242128 308522394 342802660 411363192 514203990 548484256 617044788 685605320 771305985 822726384 1028407980 1096968512 1234089576 1371210640 1542611970 1645452768 2056815960 2193937024 2468179152 2742421280 3085223940 3290905536 4113631920 4387874048 4936358304 5484842560 6170447880 6581811072 8227263840 9872716608 10969685120 12340895760 13163622144 16454527680 19745433216 21939370240 24681791520 32909055360 39490866432 49363583040 65818110720 98727166080 197454332160