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76952979216 = 2432231172
BaseRepresentation
bin100011110101011000…
…0010100011100010000
321100121222121101021100
41013222300110130100
52230044430313331
655203545224400
75362652350041
oct1075260243420
9240558541240
1076952979216
112a6a9a50293
1212ab7492100
137344a99239
143a202128c8
152005c3cae6
hex11eac14710

76952979216 has 45 divisors (see below), whose sum is σ = 215370779221. Its totient is φ = 25649883456.

The previous prime is 76952979211. The next prime is 76952979217. The reversal of 76952979216 is 61297925967.

The square root of 76952979216 is 277404.

It is a perfect power (a square), and thus also a powerful number.

76952979216 is a `hidden beast` number, since 7 + 6 + 9 + 529 + 7 + 92 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59907600 + 76893071616 = 7740^2 + 277296^2 .

It is a super-2 number, since 2×769529792162 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76952979211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3317290 + ... + 3340406.

Almost surely, 276952979216 is an apocalyptic number.

76952979216 is the 277404-th square number.

It is an amenable number.

76952979216 is an abundant number, since it is smaller than the sum of its proper divisors (138417800005).

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

76952979216 is an frugal number, since it uses more digits than its factorization.

76952979216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46248 (or 23122 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 63.

The spelling of 76952979216 in words is "seventy-six billion, nine hundred fifty-two million, nine hundred seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 23117 46234 69351 92468 138702 184936 208053 277404 369872 416106 554808 832212 1109616 1664424 3328848 534395689 1068791378 1603187067 2137582756 3206374134 4275165512 4809561201 6412748268 8550331024 9619122402 12825496536 19238244804 25650993072 38476489608 76952979216