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6004150164 = 2233257216319
BaseRepresentation
bin1011001011110000…
…00000111110010100
3120111102212102122000
411211320000332110
544244030301124
62431441435300
7301534301655
oct54570007624
916442772560
106004150164
112601205981
1211b693bb30
13748bbca9c
1440d5ad52c
152521a76c9
hex165e00f94

6004150164 has 48 divisors (see below), whose sum is σ = 15626956800. Its totient is φ = 1993586688.

The previous prime is 6004150147. The next prime is 6004150181. The reversal of 6004150164 is 4610514006.

6004150164 is a `hidden beast` number, since 60 + 0 + 41 + 501 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (6004150147) and next prime (6004150181).

It is a super-2 number, since 2×60041501642 = 72099638383722453792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80404 + ... + 135915.

It is an arithmetic number, because the mean of its divisors is an integer number (325561600).

Almost surely, 26004150164 is an apocalyptic number.

It is an amenable number.

6004150164 is an abundant number, since it is smaller than the sum of its proper divisors (9622806636).

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

6004150164 is a wasteful number, since it uses less digits than its factorization.

6004150164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216589 (or 216581 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6004150164 is about 77486.4514866954. The cubic root of 6004150164 is about 1817.5394600748.

The spelling of 6004150164 in words is "six billion, four million, one hundred fifty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 771 1028 1542 2313 3084 4626 6939 9252 13878 27756 216319 432638 648957 865276 1297914 1946871 2595828 3893742 5840613 7787484 11681226 23362452 55593983 111187966 166781949 222375932 333563898 500345847 667127796 1000691694 1501037541 2001383388 3002075082 6004150164