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6156150656 = 27413073821
BaseRepresentation
bin1011011101110111…
…10110011110000000
3120220000212212002212
411232323312132000
5100101433310111
62454511401252
7305361263045
oct55673663600
916800785085
106156150656
112679a94117
121239823228
1377153c3c6
144258591cc
152606ce98b
hex16eef6780

6156150656 has 64 divisors (see below), whose sum is σ = 12607554960. Its totient is φ = 2992435200.

The previous prime is 6156150641. The next prime is 6156150691. The reversal of 6156150656 is 6560516516.

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 (41).

It is a congruent number.

It is an unprimeable number.

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, 1609226 + ... + 1613046.

Almost surely, 26156150656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6156150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303777480).

6156150656 is an abundant number, since it is smaller than the sum of its proper divisors (6451404304).

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

6156150656 is a wasteful number, since it uses less digits than its factorization.

6156150656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

The square root of 6156150656 is about 78461.1410572138. The cubic root of 6156150656 is about 1832.7493740225.

The spelling of 6156150656 in words is "six billion, one hundred fifty-six million, one hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 307 328 614 656 1228 1312 2456 2624 3821 4912 5248 7642 9824 12587 15284 19648 25174 30568 39296 50348 61136 100696 122272 156661 201392 244544 313322 402784 489088 626644 805568 1173047 1253288 1611136 2346094 2506576 4692188 5013152 9384376 10026304 18768752 20052608 37537504 48094927 75075008 96189854 150150016 192379708 384759416 769518832 1539037664 3078075328 6156150656