Search a number
-
+
97447880160 = 25325199340061
BaseRepresentation
bin101101011000001011…
…0001010010111100000
3100022112022101012222200
41122300112022113200
53044033124131120
6112433354133200
710016564212611
oct1326026122740
9308468335880
1097447880160
1138366873754
1216a77121200
13925cb62067
144a06123c08
152805165e90
hex16b058a5e0

97447880160 has 144 divisors (see below), whose sum is σ = 334212933600. Its totient is φ = 25855441920.

The previous prime is 97447880147. The next prime is 97447880177. The reversal of 97447880160 is 6108874479.

It is a happy number.

97447880160 is a `hidden beast` number, since 9 + 7 + 4 + 478 + 8 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 97447880097 and 97447880106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116530 + ... + 456590.

It is an arithmetic number, because the mean of its divisors is an integer number (2320923150).

Almost surely, 297447880160 is an apocalyptic number.

97447880160 is a gapful number since it is divisible by the number (90) 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 97447880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167106466800).

97447880160 is an abundant number, since it is smaller than the sum of its proper divisors (236765053440).

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

97447880160 is a wasteful number, since it uses less digits than its factorization.

97447880160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340281 (or 340270 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 97447880160 in words is "ninety-seven billion, four hundred forty-seven million, eight hundred eighty 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 72 80 90 96 120 144 160 180 199 240 288 360 398 480 597 720 796 995 1194 1440 1592 1791 1990 2388 2985 3184 3582 3980 4776 5970 6368 7164 7960 8955 9552 11940 14328 15920 17910 19104 23880 28656 31840 35820 47760 57312 71640 95520 143280 286560 340061 680122 1020183 1360244 1700305 2040366 2720488 3060549 3400610 4080732 5100915 5440976 6121098 6801220 8161464 10201830 10881952 12242196 13602440 15302745 16322928 20403660 24484392 27204880 30605490 32645856 40807320 48968784 54409760 61210980 67672139 81614640 97937568 122421960 135344278 163229280 203016417 244843920 270688556 338360695 406032834 489687840 541377112 609049251 676721390 812065668 1015082085 1082754224 1218098502 1353442780 1624131336 2030164170 2165508448 2436197004 2706885560 3045246255 3248262672 4060328340 4872394008 5413771120 6090492510 6496525344 8120656680 9744788016 10827542240 12180985020 16241313360 19489576032 24361970040 32482626720 48723940080 97447880160