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4164677088 = 2531113303371
BaseRepresentation
bin1111100000111011…
…1110110111100000
3101202020120111221120
43320032332313200
532012124131323
61525131252240
7205130112465
oct37016766740
911666514846
104164677088
1118479405a0
129828aa080
13514a8bc90
142b717d66c
151959535e3
hexf83bede0

4164677088 has 96 divisors (see below), whose sum is σ = 12843556992. Its totient is φ = 1164940800.

The previous prime is 4164677087. The next prime is 4164677107. The reversal of 4164677088 is 8807764614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4164677088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164677081) 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 15 ways as a sum of consecutive naturals, for example, 137958 + ... + 165413.

It is an arithmetic number, because the mean of its divisors is an integer number (133787052).

Almost surely, 24164677088 is an apocalyptic number.

4164677088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4164677088 is an abundant number, since it is smaller than the sum of its proper divisors (8678879904).

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

4164677088 is a wasteful number, since it uses less digits than its factorization.

4164677088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303408 (or 303400 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 4164677088 is about 64534.3093865581. The cubic root of 4164677088 is about 1608.8928112882.

The spelling of 4164677088 in words is "four billion, one hundred sixty-four million, six hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 303371 606742 910113 1213484 1820226 2426968 3337081 3640452 3943823 4853936 6674162 7280904 7887646 9707872 10011243 11831469 13348324 14561808 15775292 20022486 23662938 26696648 29123616 31550584 40044972 43382053 47325876 53393296 63101168 80089944 86764106 94651752 106786592 126202336 130146159 160179888 173528212 189303504 260292318 320359776 347056424 378607008 520584636 694112848 1041169272 1388225696 2082338544 4164677088