Search a number
-
+
67141110416 = 2429281514949
BaseRepresentation
bin111110100001111011…
…000000101010010000
320102022011211210122012
4332201323000222100
52100001111013131
650502203002052
74564551010412
oct764173005220
9212264753565
1067141110416
1126524452006
1211019509328
13644006ba03
14336d0629b2
151b2e64252b
hexfa1ec0a90

67141110416 has 40 divisors (see below), whose sum is σ = 135050787000. Its totient is φ = 32297538560.

The previous prime is 67141110409. The next prime is 67141110427. The reversal of 67141110416 is 61401114176.

It can be written as a sum of positive squares in 4 ways, for example, as 16642032016 + 50499078400 = 129004^2 + 224720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127091 + ... + 387858.

It is an arithmetic number, because the mean of its divisors is an integer number (3376269675).

Almost surely, 267141110416 is an apocalyptic number.

It is an amenable number.

67141110416 is an abundant number, since it is smaller than the sum of its proper divisors (67909676584).

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

67141110416 is a wasteful number, since it uses less digits than its factorization.

67141110416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515267 (or 515261 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 67141110416 in words is "sixty-seven billion, one hundred forty-one million, one hundred ten thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 281 464 562 1124 2248 4496 8149 16298 32596 65192 130384 514949 1029898 2059796 4119592 8239184 14933521 29867042 59734084 119468168 144700669 238936336 289401338 578802676 1157605352 2315210704 4196319401 8392638802 16785277604 33570555208 67141110416