Search a number
-
+
67398689376 = 25321268918443
BaseRepresentation
bin111110110001010001…
…100110001001100000
320102222010112011112200
4332301101212021200
52101013031030001
650543523453200
74604126256444
oct766121461140
9212863464480
1067398689376
1126646891987
121108b827200
136481535cb5
143395352824
151b47072086
hexfb1466260

67398689376 has 72 divisors (see below), whose sum is σ = 191690520840. Its totient is φ = 22463241216.

The previous prime is 67398689359. The next prime is 67398689387.

67398689376 is nontrivially palindromic in base 10.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3645211 + ... + 3663653.

It is an arithmetic number, because the mean of its divisors is an integer number (2662368345).

Almost surely, 267398689376 is an apocalyptic number.

It is an amenable number.

67398689376 is an abundant number, since it is smaller than the sum of its proper divisors (124291831464).

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

67398689376 is a wasteful number, since it uses less digits than its factorization.

67398689376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31148 (or 31137 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 67398689376 in words is "sixty-seven billion, three hundred ninety-eight million, six hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12689 18443 25378 36886 38067 50756 55329 73772 76134 101512 110658 114201 147544 152268 165987 203024 221316 228402 295088 304536 331974 406048 442632 456804 590176 609072 663948 885264 913608 1218144 1327896 1770528 1827216 2655792 3654432 5311584 234023227 468046454 702069681 936092908 1404139362 1872185816 2106209043 2808278724 3744371632 4212418086 5616557448 7488743264 8424836172 11233114896 16849672344 22466229792 33699344688 67398689376