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1138790169 = 3211217137449
BaseRepresentation
bin100001111100000…
…1000111100011001
32221100211112102200
41003320020330121
54313012241134
6305000120413
740135361646
oct10370107431
92840745380
101138790169
115348a9a00
12279466109
13151c1294a
14ab358dcd
1569e99499
hex43e08f19

1138790169 has 72 divisors (see below), whose sum is σ = 1932676200. Its totient is φ = 643399680.

The previous prime is 1138790143. The next prime is 1138790179. The reversal of 1138790169 is 9610978311.

It can be written as a sum of positive squares in 4 ways, for example, as 406546569 + 732243600 = 20163^2 + 27060^2 .

It is not a de Polignac number, because 1138790169 - 221 = 1136693017 is a prime.

It is a super-2 number, since 2×11387901692 = 2593686098022097122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1138790179) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2536057 + ... + 2536505.

It is an arithmetic number, because the mean of its divisors is an integer number (26842725).

Almost surely, 21138790169 is an apocalyptic number.

It is an amenable number.

1138790169 is a deficient number, since it is larger than the sum of its proper divisors (793886031).

1138790169 is a wasteful number, since it uses less digits than its factorization.

1138790169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1138790169 is about 33745.9652254903. The cubic root of 1138790169 is about 1044.2742513963.

The spelling of 1138790169 in words is "one billion, one hundred thirty-eight million, seven hundred ninety thousand, one hundred sixty-nine".

Divisors: 1 3 9 11 17 33 51 99 121 137 153 187 363 411 449 561 1089 1233 1347 1507 1683 2057 2329 4041 4521 4939 6171 6987 7633 13563 14817 16577 18513 20961 22899 25619 44451 49731 54329 61513 68697 76857 83963 149193 162987 184539 230571 251889 281809 488961 553617 676643 755667 845427 923593 1045721 2029929 2536281 2770779 3137163 6089787 7443073 8312337 9411489 11502931 22329219 34508793 66987657 103526379 126532241 379596723 1138790169