Search a number
-
+
6396848216100 = 22335219124694897
BaseRepresentation
bin101110100010110000111…
…0111011001100000100100
3211122112101100110201012000
41131011201313121200210
51314301221120403400
621334401013325300
71230104601456636
oct135054167314044
924575340421160
106396848216100
112046985063971
12873903636830
133752b2a11a44
14181875558a56
15b15e3d09600
hex5d161dd9824

6396848216100 has 144 divisors (see below), whose sum is σ = 21647034292800. Its totient is φ = 1616045852160.

The previous prime is 6396848216093. The next prime is 6396848216107. The reversal of 6396848216100 is 16128486936.

6396848216100 is a `hidden beast` number, since 63 + 96 + 8 + 482 + 1 + 6 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6396848216093) and next prime (6396848216107).

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

It is not an unprimeable number, because it can be changed into a prime (6396848216107) 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, 62296149 + ... + 62398748.

Almost surely, 26396848216100 is an apocalyptic number.

6396848216100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6396848216100 is an abundant number, since it is smaller than the sum of its proper divisors (15250186076700).

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

6396848216100 is a wasteful number, since it uses less digits than its factorization.

6396848216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124694939 (or 124694926 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 6396848216100 in words is "six trillion, three hundred ninety-six billion, eight hundred forty-eight million, two hundred sixteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2700 2850 3420 4275 5130 5700 8550 10260 12825 17100 25650 51300 124694897 249389794 374084691 498779588 623474485 748169382 1122254073 1246948970 1496338764 1870423455 2244508146 2369203043 2493897940 3117372425 3366762219 3740846910 4489016292 4738406086 5611270365 6234744850 6733524438 7107609129 7481693820 9352117275 9476812172 11222540730 11846015215 12469489700 13467048876 14215218258 16833811095 18704234550 21322827387 22445081460 23692030430 28056351825 28430436516 33667622190 35538045645 37408469100 42645654774 47384060860 56112703650 59230076075 63968482161 67335244380 71076091290 84169055475 85291309548 106614136935 112225407300 118460152150 127936964322 142152182580 168338110950 177690228225 213228273870 236920304300 255873928644 319842410805 336676221900 355380456450 426456547740 533070684675 639684821610 710760912900 1066141369350 1279369643220 1599212054025 2132282738700 3198424108050 6396848216100