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4149101376 = 263272344741
BaseRepresentation
bin1111011101001110…
…0100001101000000
3101201011021012002100
43313103210031000
531444132221001
61523413350400
7204550531320
oct36723441500
911634235070
104149101376
11183a072302
12979638400
13511797594
142b5087280
151943c8586
hexf74e4340

4149101376 has 168 divisors, whose sum is σ = 14182856064. Its totient is φ = 1133890560.

The previous prime is 4149101371. The next prime is 4149101393. The reversal of 4149101376 is 6731019414.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4149101376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149101371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70366 + ... + 115106.

Almost surely, 24149101376 is an apocalyptic number.

4149101376 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091428032).

4149101376 is an abundant number, since it is smaller than the sum of its proper divisors (10033754688).

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

4149101376 is a wasteful number, since it uses less digits than its factorization.

4149101376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44789 (or 44776 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4149101376 is about 64413.5185811177. The cubic root of 4149101376 is about 1606.8845758132.

The spelling of 4149101376 in words is "four billion, one hundred forty-nine million, one hundred one thousand, three hundred seventy-six".