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78211483900 = 225211223281033
BaseRepresentation
bin100100011010111000…
…1001000100011111100
321110212200201001010221
41020311301020203330
52240134114441100
655532503311124
75436103433644
oct1106561104374
9243780631127
1078211483900
1130195386500
12131a8a4b4a4
1374b5735b74
143add411524
15207b48301a
hex1235c488fc

78211483900 has 108 divisors (see below), whose sum is σ = 194662134576. Its totient is φ = 27203897600.

The previous prime is 78211483859. The next prime is 78211483921. The reversal of 78211483900 is 938411287.

It is a super-2 number, since 2×782114839002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137784 + ... + 418816.

It is an arithmetic number, because the mean of its divisors is an integer number (1802427172).

Almost surely, 278211483900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78211483900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97331067288).

78211483900 is an abundant number, since it is smaller than the sum of its proper divisors (116450650676).

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

78211483900 is a wasteful number, since it uses less digits than its factorization.

78211483900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281092 (or 281074 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 78211483900 in words is "seventy-eight billion, two hundred eleven million, four hundred eighty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 121 220 230 242 253 275 460 484 506 550 575 605 1012 1100 1150 1210 1265 2300 2420 2530 2783 3025 5060 5566 6050 6325 11132 12100 12650 13915 25300 27830 55660 69575 139150 278300 281033 562066 1124132 1405165 2810330 3091363 5620660 6182726 6463759 7025825 12365452 12927518 14051650 15456815 25855036 28103300 30913630 32318795 34004993 61827260 64637590 68009986 71101349 77284075 129275180 136019972 142202698 154568150 161593975 170024965 284405396 309136300 323187950 340049930 355506745 646375900 680099860 711013490 782114839 850124825 1422026980 1564229678 1700249650 1777533725 3128459356 3400499300 3555067450 3910574195 7110134900 7821148390 15642296780 19552870975 39105741950 78211483900