Search a number
-
+
67033520226 = 23225726775413
BaseRepresentation
bin111110011011100000…
…100101100001100010
320102000200101122122100
4332123200211201202
52044241040121401
650443400551230
74562103343401
oct763340454142
9212020348570
1067033520226
11264797469a2
1210ba9482516
13642399b48a
14335ca57638
151b24e8db86
hexf9b825862

67033520226 has 48 divisors (see below), whose sum is σ = 145885838904. Its totient is φ = 22245138432.

The previous prime is 67033520221. The next prime is 67033520261. The reversal of 67033520226 is 62202533076.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49504025025 + 17529495201 = 222495^2 + 132399^2 .

It is not an unprimeable number, because it can be changed into a prime (67033520221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12381096 + ... + 12386508.

Almost surely, 267033520226 is an apocalyptic number.

67033520226 is an abundant number, since it is smaller than the sum of its proper divisors (78852318678).

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

67033520226 is a wasteful number, since it uses less digits than its factorization.

67033520226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8355 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

It can be divided in two parts, 670335 and 20226, that added together give a square (690561 = 8312).

The spelling of 67033520226 in words is "sixty-seven billion, thirty-three million, five hundred twenty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 257 514 771 1542 2313 2677 4626 5354 5413 8031 10826 16062 16239 24093 32478 48186 48717 97434 687989 1375978 1391141 2063967 2782282 4127934 4173423 6191901 8346846 12383802 12520269 14490601 25040538 28981202 43471803 86943606 130415409 260830818 3724084457 7448168914 11172253371 22344506742 33516760113 67033520226