Search a number
-
+
76973470056 = 23327221817877
BaseRepresentation
bin100011110101111111…
…0011111000101101000
321100200102011102102100
41013223332133011220
52230120202020211
655210000333400
75363321462100
oct1075376370550
9240612142370
1076973470056
112a70a57636a
1212b02314260
1373490c1bb2
143a22c28200
152007939156
hex11ebf9f168

76973470056 has 72 divisors (see below), whose sum is σ = 242505713970. Its totient is φ = 21992419008.

The previous prime is 76973470039. The next prime is 76973470087. The reversal of 76973470056 is 65007437967.

It can be written as a sum of positive squares in only one way, i.e., 76490964900 + 482505156 = 276570^2 + 21966^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 76973469984 and 76973470011.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10905411 + ... + 10912466.

Almost surely, 276973470056 is an apocalyptic number.

It is an amenable number.

76973470056 is an abundant number, since it is smaller than the sum of its proper divisors (165532243914).

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

76973470056 is a wasteful number, since it uses less digits than its factorization.

76973470056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21817903 (or 21817889 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 76973470056 in words is "seventy-six billion, nine hundred seventy-three million, four hundred seventy thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 21817877 43635754 65453631 87271508 130907262 152725139 174543016 196360893 261814524 305450278 392721786 458175417 523629048 610900556 785443572 916350834 1069075973 1221801112 1374526251 1570887144 1832701668 2138151946 2749052502 3207227919 3665403336 4276303892 5498105004 6414455838 8552607784 9621683757 10996210008 12828911676 19243367514 25657823352 38486735028 76973470056