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55760072436 = 22341371256197
BaseRepresentation
bin110011111011100011…
…110010111011110100
312022221000102011120000
4303323203302323310
51403144034304221
641341003511300
74012533536565
oct637343627364
9168830364500
1055760072436
112171411a7a2
12a981b28530
135348211903
1429ad72616c
1516b53d7e26
hexcfb8f2ef4

55760072436 has 60 divisors (see below), whose sum is σ = 146831959428. Its totient is φ = 18451006848.

The previous prime is 55760072419. The next prime is 55760072461. The reversal of 55760072436 is 63427006755.

55760072436 is a `hidden beast` number, since 5 + 5 + 7 + 600 + 7 + 2 + 4 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10324592100 + 45435480336 = 101610^2 + 213156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55760072391 and 55760072400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 583711 + ... + 672486.

Almost surely, 255760072436 is an apocalyptic number.

It is an amenable number.

55760072436 is an abundant number, since it is smaller than the sum of its proper divisors (91071886992).

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

55760072436 is a wasteful number, since it uses less digits than its factorization.

55760072436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256350 (or 1256339 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

It can be divided in two parts, 557600 and 72436, that added together give a palindrome (630036).

The spelling of 55760072436 in words is "fifty-five billion, seven hundred sixty million, seventy-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 274 324 411 548 822 1233 1644 2466 3699 4932 7398 11097 14796 22194 44388 1256197 2512394 3768591 5024788 7537182 11305773 15074364 22611546 33917319 45223092 67834638 101751957 135669276 172098989 203503914 344197978 407007828 516296967 688395956 1032593934 1548890901 2065187868 3097781802 4646672703 6195563604 9293345406 13940018109 18586690812 27880036218 55760072436