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4123910016 = 27331193261
BaseRepresentation
bin1111010111001101…
…1101111110000000
3101122101212100001000
43311303131332000
531421210110031
61521113412000
7204123441162
oct36563357600
911571770030
104123910016
1118269266a6
1297110a000
135094b7255
142b19aa932
1519209e3e6
hexf5cddf80

4123910016 has 64 divisors (see below), whose sum is σ = 12171272400. Its totient is φ = 1374635520.

The previous prime is 4123910003. The next prime is 4123910017. The reversal of 4123910016 is 6100193214.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123910017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593175 + ... + 600086.

Almost surely, 24123910016 is an apocalyptic number.

It is an amenable number.

4123910016 is an abundant number, since it is smaller than the sum of its proper divisors (8047362384).

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

4123910016 is a wasteful number, since it uses less digits than its factorization.

4123910016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193284 (or 1193266 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4123910016 is about 64217.6768187701. The cubic root of 4123910016 is about 1603.6258935198.

The spelling of 4123910016 in words is "four billion, one hundred twenty-three million, nine hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 1193261 2386522 3579783 4773044 7159566 9546088 10739349 14319132 19092176 21478698 28638264 32218047 38184352 42957396 57276528 64436094 76368704 85914792 114553056 128872188 152737408 171829584 229106112 257744376 343659168 458212224 515488752 687318336 1030977504 1374636672 2061955008 4123910016