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76207314420 = 223253593117833
BaseRepresentation
bin100011011111001001…
…1110101010111110100
321021201000111200110200
41012332103311113310
52222033033030140
655001551120500
75335326325146
oct1067623652764
9237630450420
1076207314420
112a357051296
1212929813130
13725645ba73
14398d18cc96
151eb054a030
hex11be4f55f4

76207314420 has 72 divisors (see below), whose sum is σ = 231228486216. Its totient is φ = 20316122112.

The previous prime is 76207314413. The next prime is 76207314437. The reversal of 76207314420 is 2441370267.

76207314420 is a `hidden beast` number, since 7 + 6 + 207 + 3 + 1 + 442 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1110488976 + 75096825444 = 33324^2 + 274038^2 .

It is a super-2 number, since 2×762073144202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 587824 + ... + 705656.

It is an arithmetic number, because the mean of its divisors is an integer number (3211506753).

Almost surely, 276207314420 is an apocalyptic number.

It is an amenable number.

76207314420 is an abundant number, since it is smaller than the sum of its proper divisors (155021171796).

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

76207314420 is a wasteful number, since it uses less digits than its factorization.

76207314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121441 (or 121436 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 76207314420 its reverse (2441370267), we get a palindrome (78648684687).

The spelling of 76207314420 in words is "seventy-six billion, two hundred seven million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3593 7186 10779 14372 17965 21558 32337 35930 43116 53895 64674 71860 107790 117833 129348 161685 215580 235666 323370 353499 471332 589165 646740 706998 1060497 1178330 1413996 1767495 2120994 2356660 3534990 4241988 5302485 7069980 10604970 21209940 423373969 846747938 1270121907 1693495876 2116869845 2540243814 3810365721 4233739690 5080487628 6350609535 7620731442 8467479380 12701219070 15241462884 19051828605 25402438140 38103657210 76207314420