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4129074864 = 243271403861
BaseRepresentation
bin1111011000011100…
…1010111010110000
3101122202120201212200
43312013022322300
531424020343424
61521420223200
7204215362065
oct36607127260
911582521780
104129074864
111829834072
1297299ab00
1350a5a5085
142b2552c6c
1519276e8c9
hexf61caeb0

4129074864 has 60 divisors (see below), whose sum is σ = 11718459792. Its totient is φ = 1356969600.

The previous prime is 4129074857. The next prime is 4129074877. The reversal of 4129074864 is 4684709214.

4129074864 is a `hidden beast` number, since 412 + 90 + 74 + 86 + 4 = 666.

It is a super-3 number, since 3×41290748643 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 191707 + ... + 212154.

Almost surely, 24129074864 is an apocalyptic number.

It is an amenable number.

4129074864 is an abundant number, since it is smaller than the sum of its proper divisors (7589384928).

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

4129074864 is a wasteful number, since it uses less digits than its factorization.

4129074864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403946 (or 403937 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4129074864 is about 64257.8778361066. The cubic root of 4129074864 is about 1604.2950827647.

The spelling of 4129074864 in words is "four billion, one hundred twenty-nine million, seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 403861 807722 1211583 1615444 2423166 3230888 3634749 4846332 6461776 7269498 9692664 14538996 19385328 28674131 29077992 57348262 58155984 86022393 114696524 172044786 229393048 258067179 344089572 458786096 516134358 688179144 1032268716 1376358288 2064537432 4129074864