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4114551616 = 26717540251
BaseRepresentation
bin1111010100111111…
…0001001101000000
3101121202020212201121
43311033301031000
531411311122431
61520141042024
7203651053210
oct36517611500
911552225647
104114551616
11182161458a
12969b56314
1350758b736
142b0652240
15191351611
hexf53f1340

4114551616 has 56 divisors (see below), whose sum is σ = 9880128576. Its totient is φ = 1659648000.

The previous prime is 4114551559. The next prime is 4114551619. The reversal of 4114551616 is 6161554114.

4114551616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×41145516162 = 33859070001456422912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114551619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262510 + ... + 277741.

Almost surely, 24114551616 is an apocalyptic number.

It is an amenable number.

4114551616 is an abundant number, since it is smaller than the sum of its proper divisors (5765576960).

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

4114551616 is a wasteful number, since it uses less digits than its factorization.

4114551616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540287 (or 540277 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The square root of 4114551616 is about 64144.7707611462. The cubic root of 4114551616 is about 1602.4119372721.

The spelling of 4114551616 in words is "four billion, one hundred fourteen million, five hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 540251 1080502 2161004 3781757 4322008 7563514 8644016 9184267 15127028 17288032 18368534 30254056 34576064 36737068 60508112 64289869 73474136 121016224 128579738 146948272 242032448 257159476 293896544 514318952 587793088 1028637904 2057275808 4114551616